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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 on theme: "Quadratic Function A function that can be written in standard form; f(x) = ax 2 + bx + c where a ≠ 0."— Presentation transcript:

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

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

3 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

4 GCF Examples 4x 3 + 12x 2 5a 2 b 3 – 30a 3 b 2

5 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

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


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