Factoring Quadratic Trinomials a = 1 Chapter 10.5.

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Factoring Quadratic Trinomials a = 1 Chapter 10.5

RECALL: FOIL Example: Multiply using the FOIL method. (7x + 3)(2x + 4) = (7x)(2x) (7x + 3)(2x + 4) F O + (7x)(4)+ (3)(2x) I + (3)(4) L = 14x x + 6x + 12 = 14x x + 12 F O I L

Factoring Quadratic Trinomials Factoring is “undoing” FOIL. Starting with an expression like x 2 + 3x + 2 We’re going to rewrite this as the product of 2 binomials. ( )( )X + 1X + 2

Standard Form: ax 2 + bx + c The Standard Form of any Quadratic Trinomials is ax 2 + bx + c So for the example, 3x 2 − 4x + 1 a = 3 b = −4 c = 1

Standard Form: ax 2 + bx + c EX. Find a, b and c 1.4x 2 + x − 2 2.2x 2 − x − x 2 + 2x − 4 4.x 2 + 3x + 2

Factoring: ax 2 + bx + c when a = 1 Find the two numbers whose product equals c AND whose sum equals b