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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 14 Page 174

Use the Zero Product Property.

x=7 and x= - 4

Practice makes perfect

We want to solve the given equation by factoring.

Factoring

Let's get factoring!

x^2-3x-28=0

Write as a difference

x^2+4x-7x-28=0

▼

Factor out x & - 7

Factor out x

x(x+4)-7x-28=0

Factor out - 7

x(x+4)-7(x+4)=0

Factor out (x+4)

(x-7)(x+4)=0

Solving

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

(x-7)(x+4)=0

Use the Zero Product Property

lcx-7=0 & (I) x+4=0 & (II)

(I): LHS+7=RHS+7

lx=7 x+4=0

(II): LHS-4=RHS-4

lx_1=7 x_2=- 4

Subchapter links

Exercises p.174-177