1. 10.4 Solving Factored Polynomial Equations
Find the value of x, Discuss as team why/how you determined the solution.
3(0) = x (0)(-5) = x (x)(7) = x = 0
x = 0
x = 0
x = 0
x = 0
Zero Product Property
If a · b = 0, then either a = 0 or b = 0.

2. 10.4 Solving Factored Polynomial Equations
As a team, Discuss the possible solutions for each of the following equations, EXPLAIN your reasoning:
1. 3x = (x – 2) = 0
3. xy = (x + 2)(x + 7) = 0

3. (x + 2)(x + 7) = 0
x + 2 = 0 or x + 7 = 0
x + 2 – 2 = 0 – 2
x = -2
x + 7 – 7 = 0 – 7
x = -7
{-2, -7}

4. Solve. (2x – 6)(3x + 5) = 0 2x – 6 = 0 or 3x + 5 = 0 x = 3

5. (x + 8)2 = 0
(x + 8)(x + 8) = 0
x + 8 = 0
x + 8 – 8 = 0 – 8
x = -8

6. (3x – 2)(4x + 3)(x + 4) = 0 3x – 2 = 0 or 4x + 3 = 0 or x + 4 =0

7. 10.4 Solving Factored Polynomial Equations
a quadratic equation in standard form.
2x2 – 7x + 15 = 0
a quadratic equation in factored form.
(2x + 5)(x – 3) = 0
a polynomial equation in factored form.
(2x + 5)(x – 3)(x + 7) = 0

8. Homework
p. 600, #20-42 evens

9. 10.4 Solving Factored Polynomial Equations
Review: Linear, Quadratic
Quadratic Equation : a polynomial equation with a degree of two
Ex. x2 + 2x - 8 = -3
Factored Form of a Quadratic Equation: Equation in which the polynomial is written as the product of two linear expressions
Ex. (x + 4)(x – 2) = -3