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Chapter 6: Q. 133E (page 590)

In the following exercises, factor using substitution3y-22-3y-2-2

Short Answer

Expert verified

The factors are3y-43y-1

Step by step solution

01

Step 1. Given Information

The trinomial is3y-22-3y-2-2

Find factors using substitution method.

02

Step 2. Find the term for substitution

Rewrite the trinomial to prepare for the substitution

3y-22-3y-2-2

Substitute3y-2=u

So, trinomial becomes

u2-u-2

03

Step 3. Factor the trinomial

Split the middle term of trinomial to find factors

u2-u-2u2-2u+u-2

Factor it

uu-2+1u-2u-2u+1

04

Step 4. Substitute back u

Substitute back u=3y-2

3y-2-23y-2+13y-43y-1

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