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Quadratic Function A function that can be written in standard form;

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.

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Quadratic Function A function that can be written in standard form;

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  1. Quadratic FunctionA function that can be written in standard form; f(x) = ax2 + 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 • 4x3 + 12x2 • 5a2b3– 30a3b2

  5. Factoring a Difference of Two Squares a2 – b2 = (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 Examplesa2 – b2 = (a + b)(a – b) #1. 25 – x2 #2. 3p2– 27q2

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