Notes - Solving Quadratic Equations in Factored Form

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Presentation transcript:

Notes - Solving Quadratic Equations in Factored Form Zero Product Property If ab = 0, then a = 0 or b = 0 If the product of two factors is zero, then at least one of the factors must be zero. 3 * 0 = 0 0 * 3 = 0 0 * 0 = 0

Set each factor equal to zero and solve. Notes - Solving Quadratic Equations in Factored Form (x + 3)(x + 2) = 0 Set each factor equal to zero and solve. Check your answers.

Ex. 1: Solve the equation (x-2)(x+3) = 0 STEP 1: Set each factor equal to zero. x-2= 0 and x+3 = 0 STEP 2: Solve for x. x-2= 0 x+3 = 0 x=-3 x = 2 STEP 3: Check your answers. (x-2)(x+3) = 0 (x-2)(x+3) = 0 (2-2)(2+3) = 0 (-3-2)(-3+3) = 0 (-5)(0) = 0 (0)(5) = 0 0 = 0 0 = 0

Solve 1) x2 + 5x + 6 = 0 2) x2 – 2x – 8 = 0 3) x2 + 7x + 6 = 0

Answers 1) x = -3, -2 2) x = -2, 4 3) x = -1, -6 4) x = 0, -5/2

$25,000 Pyramid

$25,000 Pyramid x=15, -6 x =20, -10 (x-12)(x+4) x = 6, x=-5 (x-8)(x+5)

$25,000 Pyramid (x-14y)(x+5y) (x-10)(x+10) X=11, x=-6 (x-5)(x+4)