Warm up Factor Completely 5x2 – 13x + 6 x2 – 9y2 3) y2 + 2y – 48 Solve… 4) 2(x – 5) + 5x = 3 – 6x

Solving Quadratic Equations by Factoring

To solve a quadratic eqn To solve a quadratic eqn. by factoring, you must remember your factoring patterns!

Solving or Finding the Zeros of an equation Zero Product Property Let A and B be real numbers or algebraic expressions. If AB=0, then A=0 or B=0. This means that If the product of 2 factors is zero, then at least one of the 2 factors had to be zero itself! Solving or Finding the Zeros of an equation The zeros of an equation are the solutions/roots/x-intercepts. First, set equal to zero, or if it is an equation in standard form then change y to a 0. Now, solve for x. The solutions will be the zeros of the equation.

Example: Solve. x2+3x-18=0

Example: Solve. 2t2-17t+45=3t-5

Example: Solve. 3x-6=x2-10

Example: Find the Zeros of y=x2-x-6 If you were to graph the eqn., the graph would cross the x-axis at (-2,0) and (3,0).

You Try! Solve:   {3/2, 5} {0, 1/2}

Homework 1-4 (Odds) ****************************** Tutorials All Husky Help Times Tuesday afternoon 2:30-3:30