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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

1. Solving Quadratic Equations by Factoring

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Exercise 39 Page 174

Use the Zero Product Property.

x=8 and x= - 3

Practice makes perfect

We want to solve the given equation by factoring.

Factoring

Let's get factoring!

x^2-5x-24=0

Write as a difference

x^2+3x-8x-24=0

▼

Factor out x & - 8

Factor out x

x(x+3)-8x-24=0

Factor out - 8

x(x+3)-8(x+3)=0

Factor out (x+3)

(x-8)(x+3)=0

Solving

To solve this equation, we will apply the Zero Product Property.

(x-8)(x+3)=0

Use the Zero Product Property

lcx-8=0 & (I) x+3=0 & (II)

(I): LHS+8=RHS+8

lx=8 x+3=0

(II): LHS-3=RHS-3

lx_1=8 x_2=- 3

Subchapter links

Exercises p.174-177