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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 36 Page 174

Use the Zero Product Property.

x=2/3 and x= - 7/4

Practice makes perfect

We want to solve the given equation by factoring.

Factoring

Let's get factoring!

12x^2+13x-14=0

Write as a difference

12x^2+21x-8x-14=0

▼

Factor out 3x & - 2

Factor out 3x

3x(4x+7)-8x-14=0

Factor out - 2

3x(4x+7)-2(4x+7)=0

Factor out (4x+7)

(3x-2)(4x+7)=0

Solving

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

(3x-2)(4x+7)=0

Use the Zero Product Property

lc3x-2=0 & (I) 4x+7=0 & (II)

(I): LHS+2=RHS+2

l3x=2 4x+7=0

(I): .LHS /3.=.RHS /3.

lx= 23 4x+7=0

(II): LHS-7=RHS-7

lx= 23 4x=- 7

(II): .LHS /4.=.RHS /4.

lx_1= 23 x_2=- 74

Subchapter links

Exercises p.174-177