2Factoring Difference of Two Squares Both terms must be Perfect Squares and have a MINUS between themCheck the binomial for GCFUse two sets of parenthesis (one’s a plus, one’s a minus)Split up what it takes to make the 1st a perfect square and what it takes the 2nd to be a perfect square
11Notes - Solving Quadratic Equations in Factored Form y = (x + 3)(x + 2) Ways to solve: y = x2 + 5x + 6
12Notes - Solving Quadratic Equations in Factored Form Zero Product PropertyIf ab = 0, then a = 0 or b = 0If 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
13Solve by FactoringMove everything to one side so that the squared term is positive (set equal to zero)Factor (GCF, Trinomial, Grouping, Difference of Two Squares, etc)Solve each factorCheck your answer(s)!!!
14Ex. 1: Solve the equation (x-2)(x+3) = 0 STEP 1: Set each factor equal to zero.x-2= 0 and x+3 = 0STEP 2: Solve for x.x-2= 0x+3 = 0x=-3x = 2STEP 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) = 00 = 00 = 0