1. 5.3.2 – Quadratic Equations, Finding Zeroes

2. Recall, we went over how to factor quadratics that are trinomials Example. Factor the expression x 2 + 7x + 12

3. Quadratic Equations Quadratic Equations are written in the form ax 2 + bx + c = 0 If you can factor the left side, then you can solve the equation with a specific property Known as finding the “zeroes,” or where the equation cross the x-axis

4. Zero Product Property Zero Product Property = if A and B are expressions, then; If AB = 0, then A = 0 OR B = 0 In other words, if we can factor into two expressions, we can set each expression equal to zero

5. To solve quadratic equations; 1) Factor the equation on the left side (factors of last that add to the middle) 2) Write as a product of two binomials 3) Use the zero product property, set each factor equal to zero 4) Solve the one step equation 5) Check by plugging numbers back into factored form

6. Example. Solve the quadratic equation x 2 + 5x + 6 = 0 Factors? Zero Product Property?

7. Example. Solve the quadratic equation x 2 - 3x - 28 = 0 Factors? Zero Product Property?

8. Example. Solve the quadratic equation x 2 + 10x - 16 = 0 Factors? Zero Product Property?

9. Using Your Calculator Using your graphing calculator, we can also find the zeroes, or x-intercepts, of quadratics

10. Assignment Pg. 237 34-45 all