Case 3: Polynomials have 3 Perfect Square Trinomials: a2 + 2ab + b = (a + b) x + 8x + 16

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
00
•When factoring out polynomials, always try to look
• If a polynomial cannot be factored out, it is a prime.
for GCF (greatest common factor) first.
Case 1: Polynomials have 2 terms:
Find GCF of the variables and GCF of the coefficients
8x2 + 6x = 2x(4x+3)
-6x2-15x-31(2z+5)
9a*b² - 18a*b? = 9a'6? (6-2 a)
%3D
Different of two squares: a?-b2 (a + b)(a -b)
1.
2.
3 4 5
6 7
9 10 11
12 13
4.
9.
144 - x? = (12 +x)12-2)
25x2 - 64y - (52)²(89)"
21
x*-16 = (2)*-4?
2x? - 162 = 2(2²-E1)
%3D
= 2(x+9)(x-9)
3D(x+4)(+2)(-2)
Case 2: Polynomials have 4 terms: Factor by Grouping
2 +x? +5x +5
3x -9x2 +x-3
2x+1) +5(x+1)
(2- 3) (32² +1)
4x3-24x2-3x + 18
23 + 4z2-5z- 20
-2(2+4)-5(+4)
Case 3: Polynomials have 3 terms:
Perfect Square Trinomials:
a² +2ab + b2 = (a +b)²
2-14x + 49
x2 + 8x + 16
Trinomial Type I: x2 + bx + c
dn he 2 numbers such that: mn = c,m+n3b. Then:
Transcribed Image Text:00 •When factoring out polynomials, always try to look • If a polynomial cannot be factored out, it is a prime. for GCF (greatest common factor) first. Case 1: Polynomials have 2 terms: Find GCF of the variables and GCF of the coefficients 8x2 + 6x = 2x(4x+3) -6x2-15x-31(2z+5) 9a*b² - 18a*b? = 9a'6? (6-2 a) %3D Different of two squares: a?-b2 (a + b)(a -b) 1. 2. 3 4 5 6 7 9 10 11 12 13 4. 9. 144 - x? = (12 +x)12-2) 25x2 - 64y - (52)²(89)" 21 x*-16 = (2)*-4? 2x? - 162 = 2(2²-E1) %3D = 2(x+9)(x-9) 3D(x+4)(+2)(-2) Case 2: Polynomials have 4 terms: Factor by Grouping 2 +x? +5x +5 3x -9x2 +x-3 2x+1) +5(x+1) (2- 3) (32² +1) 4x3-24x2-3x + 18 23 + 4z2-5z- 20 -2(2+4)-5(+4) Case 3: Polynomials have 3 terms: Perfect Square Trinomials: a² +2ab + b2 = (a +b)² 2-14x + 49 x2 + 8x + 16 Trinomial Type I: x2 + bx + c dn he 2 numbers such that: mn = c,m+n3b. Then:
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education