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Section 4-4 Solving by Factoring ax2 + bx + c = 0

I can find the solutions to an equation by factoring Objectives I can find the solutions to an equation by factoring

Zero Product Property If ab = 0, then a = 0 b = 0

Solving with Factoring Set each variable factor equal to zero and solve for “x”

Equations Remember, to solve an equation by factoring, the equation MUST be set equal to ZERO first: ax2 + bx + c = 0

Factoring for solutions x2 – 3x –4 = 0 (x – 4)(x + 1) = 0 Then by the Zero Product Property: (x – 4) = 0 or (x + 1) = 0 If we solve these for “x” we get the following solutions: x – 4 = 0, so x = 4 x + 1 = 0, so x = -1 These are the two solutions {-1, 4}

Example 2

Example 3

Example 4

Example 5

Homework WS Solving by Factoring