Quadratic Function A function that can be written in standard form; f(x) = ax 2 + bx + c where a ≠ 0.

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Presentation transcript:

Quadratic Function A function that can be written in standard form; f(x) = ax 2 + bx + c where a ≠ 0

Factoring GCF – Greatest Common Factor Difference of 2 Squares Factoring by Grouping Factoring Trinomials

Greatest Common Factor or GCF The GCF is the greatest factor that divides evenly into each term of an expression May recognize GCF easily If not; – Find prime factors of each term – Determine the GCF – Factor out GCF and combine remaining terms

GCF Examples 4x x 2 5a 2 b 3 – 30a 3 b 2

Factoring a Difference of Two Squares a 2 – b 2 = (a + b)(a - b) A pattern that makes it easy to factor First recognize perfect squares and substitute for a and b

Difference of Two Squares Examples a 2 – b 2 = (a + b)(a – b) #1. 25 – x 2 #2. 3p 2 – 27q 2