Factoring Polynomials: Attack Strategy | Lecture Note - Edubirdie

University:
Campbell University
Course:
MATH 111 | College Algebra
Academic year:

2022
Views:

58

Pages:

1
Author:

Andreas Barnett

FACTORING POLYNOMIALS ATTACK STRATEGY Prep Step Remove all parentheses ( ) Combine like terms If quadratic, put in Standard Form: Ax2 + Bx + C Step 1. ALWAYS factor out a GCF if possible. If squared term is negative, make it positive by factoring out -GCF or -1. Step 2. How many terms? a) Two terms (Special Products) 1) Sum of Squares (a2 + b2) → NOT FACTORABLE! 2) Difference of Squares (a2 - b2) → (a + b)(a - b) 3) Sum of Cubes (a3 + b3) → (a + b)(a2 - ab + b2) 4) Difference of Cubes (a3 - b3) → (a - b)(a2 + ab + b2) b) Three terms 1) Check first to see if it’s a perfect square trinomial. 2) Squared term coefficient = 1 → factor by trial & error. 3) Squared term coefficient ≠ 1 → trial & error or A•C Method c) Four terms → Try Factoring by Grouping. Step 3. Can you factor further?

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