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 coefficients8x2 + 6x = 2x(4x+3)-6x2-15x-31(2z+5)9a*b² - 18a*b? = 9a'6? (6-2 a)%3DDifferent of two squares: a?-b2 (a + b)(a -b)1.2.3 4 56 79 10 1112 134.9.144 - x? = (12 +x)12-2)25x2 - 64y - (52)²(89)"21x*-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 Grouping2 +x? +5x +53x -9x2 +x-32x+1) +5(x+1)(2- 3) (32² +1)4x3-24x2-3x + 1823 + 4z2-5z- 20-2(2+4)-5(+4)Case 3: Polynomials have 3 terms:Perfect Square Trinomials:a² +2ab + b2 = (a +b)²2-14x + 49x2 + 8x + 16Trinomial Type I: x2 + bx + cdn he 2 numbers such that: mn = c,m+n3b. Then:

Answered: Case 3: Polynomials have 3 Perfect…

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

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,...

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