Objective SWBAT solve polynomial equations in factored form.

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Presentation transcript:

Objective SWBAT solve polynomial equations in factored form.

Section 9.4 “Solve Polynomial Equations in Factored Form” Zero-Product Property If ab = 0, then a = 0 or b = 0. The zero-product property is used to solve an equation when one side of the equation is ZERO and the other side is the product of polynomial factors. (x – 4)(x + 2) = 0 The solutions of such an equation are called ROOTS. x + 2 = 0 x – 4 = 0 x = -2 x = 4

Example 1A: Use the Zero Product Property Use the Zero Product Property to solve the equation. Check your answer. (x – 7)(x + 2) = 0 Use the Zero Product Property. x – 7 = 0 or x + 2 = 0 Solve each equation. x = 7 or x = –2 The solutions are 7 and –2.

Example 1B: Use the Zero Product Property Use the Zero Product Property to solve each equation. Check your answer. (x – 2)(x) = 0 (x)(x – 2) = 0 Use the Zero Product Property. x = 0 or x – 2 = 0 Solve the second equation. x = 2 The solutions are 0 and 2.

Use the Zero Product Property to solve the equation. Check your answer. (x + 4)(x – 3) = 0 Use the Zero Product Property. x + 4 = 0 or x – 3 = 0 x = –4 or x = 3 Solve each equation. The solutions are –4 and 3.

Solve the equations (x – 5)(x + 1) = 0 (2x – 3)(4x + 1) = 0

Using the Zero Product Property Solve the equation (x – 1)(x + 7) = 0

You try: Solve the equation (z – 6)(z + 6) = 0.

Try this one: Solve the equation (x – 4)2 = 0