Elementary Algebra
17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 7.3, Problem 205E
In the following exercises, factor.
205.
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You are given a plane Π in R3 defined by two vectors, p1 and p2, and a subspace W in R3 spanned by twovectors, w1 and w2. Your task is to project the plane Π onto the subspace W.First, answer the question of what the projection matrix is that projects onto the subspace W and how toapply it to find the desired projection. Second, approach the task in a different way by using the Gram-Schmidtmethod to find an orthonormal basis for subspace W, before then using the resulting basis vectors for theprojection. Last, compare the results obtained from both methods
Plane II is spanned by the vectors:
- (2) · P² - (4)
P1=2
P21
3
Subspace W is spanned by the vectors:
2
W1
- (9) ·
1
W2
1
= (³)
Chapter 7 Solutions
Elementary Algebra
Ch. 7.1 - Find the GCF of 48 and 80.Ch. 7.1 - Find the GCF of 18 and 40.Ch. 7.1 - Find the GCF: 12x2,18x3 .Ch. 7.1 - Find the GCF: 12y2,24y3 .Ch. 7.1 - Find the GCF: 6ab4,8a2b .Ch. 7.1 - Find the GCF: 9m5n2,12m3n .Ch. 7.1 - Find the greatest common factor: 25m4,35m3,20m2 .Ch. 7.1 - Find the greatest common factor: 14x3,70x2,105x .Ch. 7.1 - Factor: 6a+24 .Ch. 7.1 - Factor: 2b+14 .
Ch. 7.1 - Factor: 14x+14 .Ch. 7.1 - Factor: 12p+12 .Ch. 7.1 - Factor: 18u36 .Ch. 7.1 - Factor: 30y60 .Ch. 7.1 - Factor: 5x225x+15 .Ch. 7.1 - Factor: 3y212y+27 .Ch. 7.1 - Factor: 2x3+12x2 .Ch. 7.1 - Factor: 6y315y2 .Ch. 7.1 - Factor: 20x310x2+14x .Ch. 7.1 - Factor: 24y312y220y .Ch. 7.1 - Factor: 9xy2+6x2y2+21y3 .Ch. 7.1 - Factor: 3p36p2q+9pq3 .Ch. 7.1 - Factor: 16z64 .Ch. 7.1 - Factor: 9y27 .Ch. 7.1 - Factor: 4b2+16b .Ch. 7.1 - Factor: 7a2+21a .Ch. 7.1 - Factor: 4m(m+3)7(m+3) .Ch. 7.1 - Factor: 8n(n4)+5(n4) .Ch. 7.1 - Factor: xy+8y+3x+24 .Ch. 7.1 - Factor: ab+7b+8a+56 .Ch. 7.1 - Factor: x2+2x5x10 .Ch. 7.1 - Factor: y2+4y7y28 .Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, find the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor the greatest...Ch. 7.1 - In the following exercises, factor by grouping....Ch. 7.1 - In the following exercises, factor by grouping....Ch. 7.1 - In the following exercises, factor by grouping....Ch. 7.1 - In the following exercises, factor by grouping....Ch. 7.1 - In the following exercises, factor by grouping....Ch. 7.1 - In the following exercises, factor by grouping....Ch. 7.1 - In the following exercises, factor by grouping....Ch. 7.1 - In the following exercises, factor by grouping....Ch. 7.1 - In the following exercises, factor. 53. 20x10Ch. 7.1 - In the following exercises, factor. 54. 5x3x2+xCh. 7.1 - In the following exercises, factor. 55....Ch. 7.1 - In the following exercises, factor. 56. x3+x2x1Ch. 7.1 - In the following exercises, factor. 57....Ch. 7.1 - In the following exercises, factor. 58. 5x33x25x3Ch. 7.1 - Area of a rectangle The area of a rectangle with...Ch. 7.1 - Height of a baseball The height of a baseball t...Ch. 7.1 - The greatest common factor of 36 and 60 is 12....Ch. 7.1 - What is the GCF of y4,y5 , and y10 ? Write a...Ch. 7.2 - Factor: x2+6x+8 .Ch. 7.2 - Factor: y2+8y+15 .Ch. 7.2 - Factor: q2+10q+24 .Ch. 7.2 - Factor: t2+14t+24 .Ch. 7.2 - Factor: x2+19x+60 .Ch. 7.2 - Factor: v2+23v+60 .Ch. 7.2 - Factor: u29u+18 .Ch. 7.2 - Factor: y216y+63 .Ch. 7.2 - Factor: h2+4h12 .Ch. 7.2 - Factor: k2+k20 .Ch. 7.2 - Factor: x24x12 .Ch. 7.2 - Factor: y2y20 .Ch. 7.2 - Factor: r23r40 .Ch. 7.2 - Factor: s23s10 .Ch. 7.2 - Factor: m2+4m+18 .Ch. 7.2 - Factor: n210n+12 .Ch. 7.2 - Factor: 9m+m2+18 .Ch. 7.2 - Factor: 7n+12+n2 .Ch. 7.2 - Factor: u2+11uv+28v2 .Ch. 7.2 - Factor: x2+13xy+42y2 .Ch. 7.2 - Factor: a211ab+10b2 .Ch. 7.2 - Factor: m213mn+12n2 .Ch. 7.2 - Factor: x27xy10y2 .Ch. 7.2 - Factor: p2+15pq+20q2 .Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each trinomial...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - the following exercises, factor each expression....Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - the following exercises, factor each expression....Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - In the following exercises, factor each...Ch. 7.2 - Consecutive integers Deirdre is thinking of two...Ch. 7.2 - Consecutive integers Deshawn is thinking of two...Ch. 7.2 - Many trinomials of the form x2+bx+c factor into...Ch. 7.2 - How do you determine whether to use plus or minus...Ch. 7.2 - Will factored x2x20 as (x+5)(x4) . Bill factored...Ch. 7.2 - Look at Example 7.19, where we factored y2+17y+60...Ch. 7.3 - Identify the best method to use to factor each...Ch. 7.3 - Identify the best method to use to factor each...Ch. 7.3 - Factor completely: 4m24m8 .Ch. 7.3 - Factor completely: 5k215k50 .Ch. 7.3 - Factor completely: 3r29r+6 .Ch. 7.3 - Factor completely: 2t210t+12 .Ch. 7.3 - Factor completely: 5x3+15x220x .Ch. 7.3 - Factor completely: 6y3+18y260y .Ch. 7.3 - Factor completely: 2a2+5a+3 .Ch. 7.3 - Factor completely: 4b2+5b+1 .Ch. 7.3 - Factor completely: 8x213x+3 .Ch. 7.3 - Factor completely: 10y237+7 .Ch. 7.3 - Factor completely: 8a23a5 .Ch. 7.3 - Factor completely: 6b2b15 .Ch. 7.3 - Factor completely: 18x23x10 .Ch. 7.3 - Factor completely: 30y253y21 .Ch. 7.3 - Factor completely: 15n285n2+100n .Ch. 7.3 - Factor completely: 56q3+320q296q .Ch. 7.3 - Factor: 6x2+13x+2 .Ch. 7.3 - Factor: 4y2+8y+3 .Ch. 7.3 - Factor: 20h2+13h15 .Ch. 7.3 - Factor: 6g2+19g20 .Ch. 7.3 - Factor: 10t2+19t15 .Ch. 7.3 - Factor: 3u2+8u+5 .Ch. 7.3 - Factor: 16x232x+12 .Ch. 7.3 - Factor: 18w239w+18 .Ch. 7.3 - In the following exercises, identify the best...Ch. 7.3 - In the following exercises, identify the best...Ch. 7.3 - In the following exercises, identify the best...Ch. 7.3 - In the following exercises, identify the best...Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor completely....Ch. 7.3 - In the following exercises, factor. 151. 2t2+7t+5Ch. 7.3 - In the following exercises, factor. 152....Ch. 7.3 - In the following exercises, factor. 153....Ch. 7.3 - In the following exercises, factor. 154. 7b2+50b+7Ch. 7.3 - In the following exercises, factor. 155. 4w25w+1Ch. 7.3 - In the following exercises, factor. 156. 5x217x+6Ch. 7.3 - In the following exercises, factor. 157. 6p219p+10Ch. 7.3 - In the following exercises, factor. 158....Ch. 7.3 - In the following exercises, factor. 159. 4q27q2Ch. 7.3 - In the following exercises, factor. 160. 10y253y11Ch. 7.3 - In the following exercises, factor. 161. 4p2+17p15Ch. 7.3 - In the following exercises, factor. 162. 6u2+5u14Ch. 7.3 - In the following exercises, factor. 163....Ch. 7.3 - In the following exercises, factor. 164....Ch. 7.3 - In the following exercises, factor. 165....Ch. 7.3 - In the following exercises, factor. 166....Ch. 7.3 - In the following exercises, factor. 167. 5n2+21n+4Ch. 7.3 - In the following exercises, factor. 168. 8w2+25w+3Ch. 7.3 - In the following exercises, factor. 169. 9z2+15z+4Ch. 7.3 - In the following exercises, factor. 170....Ch. 7.3 - In the following exercises, factor. 171. 4k216k+15Ch. 7.3 - In the following exercises, factor. 172. 4q29q+5Ch. 7.3 - In the following exercises, factor. 173. 5s29s+4Ch. 7.3 - In the following exercises, factor. 174. 4r220r+25Ch. 7.3 - In the following exercises, factor. 175. 6y2+y15Ch. 7.3 - In the following exercises, factor. 176. 6p2+p22Ch. 7.3 - In the following exercises, factor. 177. 2n227n45Ch. 7.3 - In the following exercises, factor. 178. 12z241z11Ch. 7.3 - In the following exercises, factor. 179. 3x2+5x+4Ch. 7.3 - In the following exercises, factor. 180. 4y2+15y+6Ch. 7.3 - In the following exercises, factor. 181....Ch. 7.3 - In the following exercises, factor. 182. 6u246u16Ch. 7.3 - In the following exercises, factor. 183....Ch. 7.3 - In the following exercises, factor. 184....Ch. 7.3 - In the following exercises, factor. 185....Ch. 7.3 - In the following exercises, factor. 186....Ch. 7.3 - In the following exercises, factor. 187....Ch. 7.3 - In the following exercises, factor. 188....Ch. 7.3 - In the following exercises, factor. 189....Ch. 7.3 - In the following exercises, factor. 190....Ch. 7.3 - In the following exercises, factor. 191. a2a20Ch. 7.3 - In the following exercises, factor. 192. m2m12Ch. 7.3 - In the following exercises, factor. 193. 6n2+5n4Ch. 7.3 - In the following exercises, factor. 194....Ch. 7.3 - In the following exercises, factor. 195. 2p2+4p+3Ch. 7.3 - In the following exercises, factor. 196. 3q2+6q+2Ch. 7.3 - In the following exercises, factor. 197....Ch. 7.3 - In the following exercises, factor. 198....Ch. 7.3 - In the following exercises, factor. 199. x2+3x28Ch. 7.3 - In the following exercises, factor. 200. 6u2+7u5Ch. 7.3 - In the following exercises, factor. 201. 3p2+21pCh. 7.3 - In the following exercises, factor. 202. 7x221xCh. 7.3 - In the following exercises, factor. 203....Ch. 7.3 - In the following exercises, factor. 204....Ch. 7.3 - In the following exercises, factor. 205....Ch. 7.3 - In the following exercises, factor. 206. 4a2+5a+2Ch. 7.3 - In the following exercises, factor. 207. x2+2x24Ch. 7.3 - In the following exercises, factor. 208. 2b27b+4Ch. 7.3 - Height of a toy rocket The height of a toy rocket...Ch. 7.3 - Height of a beach ball The height of a beach ball...Ch. 7.3 - List, in order, all the steps you take when using...Ch. 7.3 - How is the “ac” method similar to the “undo FOIL”...Ch. 7.3 - What are the questions, in order, that you ask...Ch. 7.3 - On your paper draw the chart that summarizes the...Ch. 7.4 - Factor: 4x2+12x+9 .Ch. 7.4 - Factor: 9y2+24y+16 .Ch. 7.4 - Factor: 64y280y+25 .Ch. 7.4 - Factor: 16z272z+81 .Ch. 7.4 - Factor: 49x2+84xy+36y2 .Ch. 7.4 - Factor: 64m2+112mn+49n2 .Ch. 7.4 - Factor: 16r2+30rs+9s2 .Ch. 7.4 - Factor: 9u2+87u+100 .Ch. 7.4 - Factor: 8x2y24xy+18y .Ch. 7.4 - Factor: 27p2q+90pq+75q .Ch. 7.4 - Factor: h281 .Ch. 7.4 - Factor: k2121 .Ch. 7.4 - Factor: m21 .Ch. 7.4 - Factor: 81y21 .Ch. 7.4 - Factor: 196m225n2 .Ch. 7.4 - Factor: 144p29q2 .Ch. 7.4 - Factor: 144x2 .Ch. 7.4 - Factor: 169p2 .Ch. 7.4 - Factor: a4b4 .Ch. 7.4 - Factor: x416 .Ch. 7.4 - Factor: 7xy2175x .Ch. 7.4 - Factor: 45a2b80b .Ch. 7.4 - Factor: 8a2+20 .Ch. 7.4 - Factor: 36y2+81 .Ch. 7.4 - Factor: x3+27 .Ch. 7.4 - Factor: y3+8 .Ch. 7.4 - Factor: u3125 .Ch. 7.4 - Factor: v3343 .Ch. 7.4 - Factor: 6427x3 .Ch. 7.4 - Factor: 278y3 .Ch. 7.4 - Factor: 8x327y3 .Ch. 7.4 - Factor: 1000m3125n3 .Ch. 7.4 - Factor: 500p3+4q3 .Ch. 7.4 - Factor: 432c3+686d3 .Ch. 7.4 - In the following exercises, factor. 215....Ch. 7.4 - In the following exercises, factor. 216....Ch. 7.4 - In the following exercises, factor. 217....Ch. 7.4 - In the following exercises, factor. 218....Ch. 7.4 - In the following exercises, factor. 219....Ch. 7.4 - In the following exercises, factor. 220. 64z216z+1Ch. 7.4 - In the following exercises, factor. 221....Ch. 7.4 - In the following exercises, factor. 222....Ch. 7.4 - In the following exercises, factor. 223....Ch. 7.4 - In the following exercises, factor. 224....Ch. 7.4 - In the following exercises, factor. 225....Ch. 7.4 - In the following exercises, factor. 226....Ch. 7.4 - In the following exercises, factor. 227. 64m234m+1Ch. 7.4 - In the following exercises, factor. 228....Ch. 7.4 - In the following exercises, factor. 229....Ch. 7.4 - In the following exercises, factor. 230....Ch. 7.4 - In the following exercises, factor. 231....Ch. 7.4 - In the following exercises, factor. 232....Ch. 7.4 - In the following exercises, factor. 233. x216Ch. 7.4 - In the following exercises, factor. 234. n29Ch. 7.4 - In the following exercises, factor. 235. 25v21Ch. 7.4 - In the following exercises, factor. 236. 169q21Ch. 7.4 - In the following exercises, factor. 237....Ch. 7.4 - In the following exercises, factor. 238. 49x281y2Ch. 7.4 - In the following exercises, factor. 239. 169c236d2Ch. 7.4 - In the following exercises, factor. 240. 36p249q2Ch. 7.4 - In the following exercises, factor. 241. 449x2Ch. 7.4 - In the following exercises, factor. 242. 12125s2Ch. 7.4 - In the following exercises, factor. 243. 16z41Ch. 7.4 - In the following exercises, factor. 244. m4n4Ch. 7.4 - In the following exercises, factor. 245. 5q245Ch. 7.4 - In the following exercises, factor. 246. 98r372rCh. 7.4 - In the following exercises, factor. 247. 24p2+54Ch. 7.4 - In the following exercises, factor. 248. 20b2+140Ch. 7.4 - In the following exercises, factor. 249. x3+125Ch. 7.4 - In the following exercises, factor. 250. n3+512Ch. 7.4 - In the following exercises, factor. 251. z327Ch. 7.4 - In the following exercises, factor. 252. v3216Ch. 7.4 - In the following exercises, factor. 253. 8343t3Ch. 7.4 - In the following exercises, factor. 254. 12527w3Ch. 7.4 - In the following exercises, factor. 255. 8y3125z3Ch. 7.4 - In the following exercises, factor. 256. 27x364y3Ch. 7.4 - In the following exercises, factor. 257. 7k3+56Ch. 7.4 - In the following exercises, factor. 258. 6x348y3Ch. 7.4 - In the following exercises, factor. 259. 216y3Ch. 7.4 - In the following exercises, factor. 260. 2x316y3Ch. 7.4 - In the following exercises, factor. 261. 64a225Ch. 7.4 - In the following exercises, factor. 262. 121x2144Ch. 7.4 - In the following exercises, factor. 263. 27q23Ch. 7.4 - In the following exercises, factor. 264. 4p2100Ch. 7.4 - In the following exercises, factor. 265....Ch. 7.4 - In the following exercises, factor. 266....Ch. 7.4 - In the following exercises, factor. 267. 8p2+2Ch. 7.4 - In the following exercises, factor. 268. 81x2+169Ch. 7.4 - In the following exercises, factor. 269. 1258y3Ch. 7.4 - In the following exercises, factor. 270. 27u3+1000Ch. 7.4 - In the following exercises, factor. 271....Ch. 7.4 - In the following exercises, factor. 272....Ch. 7.4 - Landscaping Sue and Alan are planning to put a 15...Ch. 7.4 - Home repair The height a twelve foot ladder can...Ch. 7.4 - Why was it important to practice using the...Ch. 7.4 - How do you recognize the binomial squares pattern?Ch. 7.4 - Explain why n2+25(n+5)2 . Use algebra, words, or...Ch. 7.4 - Maribel factored y230y+81 as (y9)2 . Was she right...Ch. 7.5 - Factor completely: 3a4+18a3 .Ch. 7.5 - Factor completely: 45b6+27b5 .Ch. 7.5 - Factor completely: 10a217a+6 .Ch. 7.5 - Factor completely: 8x218x+9 .Ch. 7.5 - Factor completely: x3+36x .Ch. 7.5 - Factor completely: 27y2+48 .Ch. 7.5 - Factor completely: 16x336x .Ch. 7.5 - Factor completely: 27y248 .Ch. 7.5 - Factor completely: 4x2+20xy+25y2 .Ch. 7.5 - Factor completely: 9m2+42mn+49n2 .Ch. 7.5 - Factor completely: 8y2+16y24 .Ch. 7.5 - Factor completely: 5u215u270 .Ch. 7.5 - Factor completely: 250m3+432 .Ch. 7.5 - Factor completely: 81q3+192 .Ch. 7.5 - Factor completely: 4a464 .Ch. 7.5 - Factor completely: 7y47 .Ch. 7.5 - Factor completely: 6x212xc+6bx12bc .Ch. 7.5 - Factor completely: 16x2+24xy4x6y .Ch. 7.5 - Factor completely: 4p216p+12 .Ch. 7.5 - Factor completely: 6q29q6 .Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - In the following exercises, factor completely....Ch. 7.5 - Watermelon drop A springtime tradition at the...Ch. 7.5 - Pumpkin drop A fall tradition at the University of...Ch. 7.5 - The difference of squares y4625 can be factored as...Ch. 7.5 - Of all the factoring methods covered in this...Ch. 7.6 - Solve: (x3)(x+5)=0 .Ch. 7.6 - Solve: (y6)(y+9)=0 .Ch. 7.6 - Solve: (3m2)(2m+1)=0 .Ch. 7.6 - Solve: (4p+3)(4p3)=0 .Ch. 7.6 - Solve: 2u(5u1)=0 .Ch. 7.6 - Solve: w(2w+3)=0 .Ch. 7.6 - Solve: (x+1)2=0 .Ch. 7.6 - Solve: (v2)2=0 .Ch. 7.6 - Solve: x2x12=0 .Ch. 7.6 - Solve: b2+9b+14=0 .Ch. 7.6 - Solve: 3c2=10c8 .Ch. 7.6 - Solve: 2d25d=3 .Ch. 7.6 - Solve: 6a2+9a=3a .Ch. 7.6 - Solve: 45b22b=17b .Ch. 7.6 - Solve: 25p2=49 .Ch. 7.6 - Solve: 36x2=121 .Ch. 7.6 - Solve: (2m+1)(m+3)=12m .Ch. 7.6 - Solve: (k+1)(k1)=8 .Ch. 7.6 - Solve: 8x3=24x218x .Ch. 7.6 - Solve: 16y2=32y3+2y .Ch. 7.6 - Solve: 18a230=33a .Ch. 7.6 - Solve: 123b=660b2 .Ch. 7.6 - The product of two consecutive integers is 240....Ch. 7.6 - The product of two consecutive integers is 420....Ch. 7.6 - A rectangular sign has area 30 square feet. The...Ch. 7.6 - A rectangular patio has area 180 square feet. The...Ch. 7.6 - A boat’s sail is a right triangle. The length of...Ch. 7.6 - A meditation garden is in the shape of a right...Ch. 7.6 - In the following exercises, solve. 315....Ch. 7.6 - In the following exercises, solve. 316....Ch. 7.6 - In the following exercises, solve. 317....Ch. 7.6 - In the following exercises, solve. 318....Ch. 7.6 - In the following exercises, solve. 319. 6m(12m5)=0Ch. 7.6 - In the following exercises, solve. 320. 2x(6x3)=0Ch. 7.6 - In the following exercises, solve. 321. (y3)2=0Ch. 7.6 - In the following exercises, solve. 322. (b+10)2=0Ch. 7.6 - In the following exercises, solve. 323. (2x1)2=0Ch. 7.6 - In the following exercises, solve. 324. (3y+5)2=0Ch. 7.6 - In the following exercises, solve. 325. x2+7x+12=0Ch. 7.6 - In the following exercises, solve. 326. y28y+15=0Ch. 7.6 - In the following exercises, solve. 327. 5a226a=24Ch. 7.6 - In the following exercises, solve. 328. 4b2+7b=3Ch. 7.6 - In the following exercises, solve. 329. 4m2=17m15Ch. 7.6 - In the following exercises, solve. 330....Ch. 7.6 - In the following exercises, solve. 331. 7a2+14a=7aCh. 7.6 - In the following exercises, solve. 332. 12b215b=9bCh. 7.6 - In the following exercises, solve. 333. 49m2=144Ch. 7.6 - In the following exercises, solve. 334. 625=x2Ch. 7.6 - In the following exercises, solve. 335....Ch. 7.6 - In the following exercises, solve. 336....Ch. 7.6 - In the following exercises, solve. 337....Ch. 7.6 - In the following exercises, solve. 338....Ch. 7.6 - In the following exercises, solve. 339....Ch. 7.6 - In the following exercises, solve. 340. m32m2=mCh. 7.6 - In the following exercises, solve. 341. 20x260x=45Ch. 7.6 - In the following exercises, solve. 342. 3y218y=27Ch. 7.6 - In the following exercises, solve. 343. The...Ch. 7.6 - In the following exercises, solve. 344. The...Ch. 7.6 - In the following exercises, solve. 345. The area...Ch. 7.6 - In the following exercises, solve. 346. A...Ch. 7.6 - In the following exercises, solve. 347. A pennant...Ch. 7.6 - In the following exercises, solve. 348. A...Ch. 7.6 - In the following exercises, solve. 349....Ch. 7.6 - In the following exercises, solve. 350....Ch. 7.6 - In the following exercises, solve. 351....Ch. 7.6 - In the following exercises, solve. 352. q212q13=0Ch. 7.6 - In the following exercises, solve. 353. m2=6m+16Ch. 7.6 - In the following exercises, solve. 354. 4n2+19n=5Ch. 7.6 - In the following exercises, solve. 355. a3a242a=0Ch. 7.6 - In the following exercises, solve. 356....Ch. 7.6 - In the following exercises, solve. 357. The...Ch. 7.6 - In the following exercises, solve. 358. The length...Ch. 7.6 - Area of a patio If each side of a square patio is...Ch. 7.6 - Watermelon drop A watermelon is dropped from the...Ch. 7.6 - Explain how you solve a quadratic equation. How...Ch. 7.6 - Give an example of a quadratic equation that has a...Ch. 7 - In the following exercises, find the greatest...Ch. 7 - In the following exercises, find the greatest...Ch. 7 - In the following exercises, find the greatest...Ch. 7 - In the following exercises, find the greatest...Ch. 7 - In the following exercises, factor the greatest...Ch. 7 - In the following exercises, factor the greatest...Ch. 7 - In the following exercises, factor the greatest...Ch. 7 - In the following exercises, factor the greatest...Ch. 7 - In the following exercises, factor by grouping....Ch. 7 - In the following exercises, factor by grouping....Ch. 7 - In the following exercises, factor by grouping....Ch. 7 - In the following exercises, factor by grouping....Ch. 7 - In the following exercises, factor by grouping....Ch. 7 - In the following exercises, factor by grouping....Ch. 7 - In the following exercises, factor each trinomial...Ch. 7 - In the following exercises, factor each trinomial...Ch. 7 - In the following exercises, factor each trinomial...Ch. 7 - In the following exercises, factor each trinomial...Ch. 7 - In the following exercises, factor each trinomial...Ch. 7 - In the following exercises, factor each trinomial...Ch. 7 - In the following exercises, factor each trinomial...Ch. 7 - In the following exercises, factor each trinomial...Ch. 7 - In the following examples, factor each trinomial...Ch. 7 - In the following examples, factor each trinomial...Ch. 7 - In the following examples, factor each trinomial...Ch. 7 - In the following examples, factor each trinomial...Ch. 7 - In the following exercises, identify the best...Ch. 7 - In the following exercises, identify the best...Ch. 7 - In the following exercises, identify the best...Ch. 7 - In the following exercises, identify the best...Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor. 397. 2x2+9x+4Ch. 7 - In the following exercises, factor. 398....Ch. 7 - In the following exercises, factor. 399. 18a29a+1Ch. 7 - In the following exercises, factor. 400. 8u214u+3Ch. 7 - In the following exercises, factor. 401. 15p2+2p8Ch. 7 - In the following exercises, factor. 402. 15x2+6x2Ch. 7 - In the following exercises, factor. 403. 40s2s6Ch. 7 - In the following exercises, factor. 404. 20n27n3Ch. 7 - In the following exercises, factor. 405. 3x2+3x36Ch. 7 - In the following exercises, factor. 406. 4x2+4x8Ch. 7 - In the following exercises, factor. 407. 60y285y25Ch. 7 - In the following exercises, factor. 408. 18a257a21Ch. 7 - In the following exercises, factor. 409....Ch. 7 - In the following exercises, factor. 410....Ch. 7 - In the following exercises, factor. 411....Ch. 7 - In the following exercises, factor. 412....Ch. 7 - In the following exercises, factor. 413....Ch. 7 - In the following exercises, factor. 414....Ch. 7 - In the following exercises, factor. 415....Ch. 7 - In the following exercises, factor. 416....Ch. 7 - In the following exercises, factor. 417. 81r225Ch. 7 - In the following exercises, factor. 418. 49a2144Ch. 7 - In the following exercises, factor. 419. 169m2n2Ch. 7 - In the following exercises, factor. 420. 64x2y2Ch. 7 - In the following exercises, factor. 421. 25p21Ch. 7 - In the following exercises, factor. 422. 116s2Ch. 7 - In the following exercises, factor. 423. 9121y2Ch. 7 - In the following exercises, factor. 424. 100k281Ch. 7 - In the following exercises, factor. 425. 20x2125Ch. 7 - In the following exercises, factor. 426. 18y298Ch. 7 - In the following exercises, factor. 427. 49u39uCh. 7 - In the following exercises, factor. 428. 169n3nCh. 7 - In the following exercises, factor. 429. a3125Ch. 7 - In the following exercises, factor. 430. b3216Ch. 7 - In the following exercises, factor. 431. 2m3+54Ch. 7 - In the following exercises, factor. 432. 81x3+3Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, solve. 445....Ch. 7 - In the following exercises, solve. 446....Ch. 7 - In the following exercises, solve. 447....Ch. 7 - In the following exercises, solve. 448....Ch. 7 - In the following exercises, solve. 449. x2+9x+20=0Ch. 7 - In the following exercises, solve. 450. y2y72=0Ch. 7 - In the following exercises, solve. 451. 2p211p=40Ch. 7 - In the following exercises, solve. 452....Ch. 7 - In the following exercises, solve. 453. 144m225=0Ch. 7 - In the following exercises, solve. 454. 4n2=36Ch. 7 - In the following exercises, solve. 455. The...Ch. 7 - In the following exercises, solve. 456. The area...Ch. 7 - In the following exercises, find the Greatest...Ch. 7 - In the following exercises, find the Greatest...Ch. 7 - In the following exercises, find the Greatest...Ch. 7 - In the following exercises, find the Greatest...Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, factor completely....Ch. 7 - In the following exercises, solve. 478. x2+9x+20=0Ch. 7 - In the following exercises, solve. 479. y2=y+132Ch. 7 - In the following exercises, solve. 480. 5a2+26a=24Ch. 7 - In the following exercises, solve. 481. 9b29=0Ch. 7 - In the following exercises, solve. 482. 16m2=0Ch. 7 - In the following exercises, solve. 483....Ch. 7 - In the following exercises, solve. 484....Ch. 7 - In the following exercises, solve. 485. The...Ch. 7 - In the following exercises, solve. 486. The area...
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