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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 38 Page 174

Use the Zero Product Property.

x=5 and x= - 9

Practice makes perfect

We want to solve the given equation by factoring.

Factoring

Let's get factoring!

x^2+4x-45=0

Write as a difference

x^2+9x-5x-45=0

▼

Factor out x & - 5

Factor out x

x(x+9)-5x-45=0

Factor out - 5

x(x+9)-5(x+9)=0

Factor out (x+9)

(x-5)(x+9)=0

Solving

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

(x-5)(x+9)=0

Use the Zero Product Property

lcx-5=0 & (I) x+9=0 & (II)

(I): LHS+5=RHS+5

lx=5 x+9=0

(II): LHS-9=RHS-9

lx_1=5 x_2=- 9

Subchapter links

Exercises p.174-177