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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 11 Page 174

Use the Zero Product Property.

x=0 and x=3/2

Practice makes perfect

To solve the given equation, let's factor and solve using the Zero Product Property.

Factoring

Let's get factoring!

12x^2-18x=0

Factor out 6x

6x(2x-3)=0

Solving

Now we can apply the Zero Product Property to solve.

6x(2x-3)=0

Use the Zero Product Property

lc6x=0 & (I) 2x-3=0 & (II)

(I): .LHS /6.=.RHS /6.

lx=0 2x-3=0

(II): LHS+3=RHS+3

lx=0 2x=3

(II): .LHS /2.=.RHS /2.

lx_1=0 x_2= 32

The solutions for our equation are 0 and 32.

Subchapter links

Exercises p.174-177