Explanation Procedure used: “Factoring a x 2 + b x + c , a ≠ 1 using trial and error: Step 1: If there are common factors, then factor out the GCF and obtain the trinomial. Step 2: List the possibilities for the first terms of each binomial whose product is a x 2 . Step 2: List the possibilities for the last terms of each binomial. Step 3: Write all the combinations of factors found in step 1 and step 2. Multiply the binomials until a product that equals the trinomial is found.” Step 4: Check whether the factors satisfies the given polynomial or not. ” Calculation: Obtain the factor of the trinomial 2 − 11 x + 5 x 2 as follows. Rewrite the trinomial 2 − 11 x + 5 x 2 as 5 x 2 − 11 x + 2 . It is observed that there are no common factors in 5 x 2 − 11 x + 2 . There are two possibilities for the first term 5 x 2 of the trinomial that is, ( x + _ _ _ ) ( 5 x + _ _ _ ) List the possibilities for the last terms of each binomial factor whose product should be 2 as shown below in Table 1. Factors of 2 1 , 2 − 1 , − 2 Table 1 Since the coefficient of the middle term − 11 is negative, the integer pair for the second term of the binomial factor is chosen as follows

4th Edition

ISBN: 9780134556079

Author: Sullivan, Michael, III, Struve, Katherine R., Mazzarella, Janet.

Publisher: Pearson,

See similar textbooks

Videos

Question

Chapter 6.3, Problem 61E

To determine

The factor of the trinomial 2−11x+5x2 by using trial and error.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 6.3, Problem 60E

Chapter 6.3, Problem 62E

Students have asked these similar questions

@when ever one Point sets in x are closed a collection of functions which separates Points from closed set will separates Point. 18 (prod) is product topological space then VaeA (xx, Tx) is homeomorphic to sul space of the Product space (Txa, prod). KeA © The Bin Projection map B: Tx XP is continuous and open but heed hot to be closed. A collection (SEA) of continuos function oha topolgical Space X se partes Points from closed sets inx iff the set (v) for KEA and Vopen set in Xx from a base for top on x.

Simply:(p/(x-a))-(p/(x+a))

Q1lal Let X be an arbitrary infinite set and let r the family of all subsets F of X which do not contain a particular point x, EX and the complements F of all finite subsets F of X show that (X.r) is a topology. bl The nbhd system N(x) at x in a topological space X has the following properties NO- N(x) for any xX N1- If N EN(x) then x€N N2- If NEN(x), NCM then MeN(x) N3- If NEN(x), MEN(x) then NOMEN(x) N4- If N = N(x) then 3M = N(x) such that MCN then MeN(y) for any уем Show that there exist a unique topology τ on X. Q2\a\let (X,r) be the topology space and BST show that ẞ is base for a topology on X iff for any G open set xEG then there exist A Eẞ such that x E ACG. b\Let ẞ is a collection of open sets in X show that is base for a topology on X iff for each xex the collection B, (BEB\xEB) is is a nbhd base at x. - Q31 Choose only two: al Let A be a subspace of a space X show that FCA is closed iff F KOA, K is closed set in X. الرياضيات b\ Let X and Y be two topological space and f:X -…

Chapter 6 Solutions

Elementary & Intermediate Algebra

Ch. 6.1 - The largest polynomial that divides evenly into a...Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E Ch. 6.1 - Prob. 7E Ch. 6.1 - Prob. 8E Ch. 6.1 - Prob. 9E Ch. 6.1 - Prob. 10E

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

The factor of the trinomial 2 − 11 x + 5 x 2 by using trial and error.

Solution Summary: The author calculates the factor of the trinomial 2-11x+5x2 by using trial and error.

Videos

The factor of the trinomial 2−11x+5x2 by using trial and error.

Want to see the full answer?

Chapter 6 Solutions