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Chapter 6: Q. 134E (page 590)

In the following exercises, factor using substitution5y-12-35y-1-18

Short Answer

Expert verified

The factors are3y-73y+2

Step by step solution

01

Step 1. Given Information

The trinomial is3y-12-33y-1-18

Find factors using substitution method.

02

Step 2. Find the term for substitution

Rewrite the trinomial to prepare for the substitution

3y-12-33y-1-18

Substitute 3y-1=u

So, trinomial becomes

u2-3u-18

03

Step 3. Factor the trinomial

Split the middle term of trinomial to find factors

u2-3u-18u2-6u+3u-18

Factor it

uu-6+3u-6u-6u+3

04

Step 4. Substitute back u

Substitute back u=3y-1

role="math" localid="1644718516146" 3y-1-63y-1+33y-73y+2

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Most popular questions from this chapter

In the following exercises, factor completely using the sums and differences of cubes pattern, if possible.
n6+512

In the following exercises, find the greatest common factor.

35x3y2,10x4y,5x5y3

In the following exercises, find the greatest common factor.

10a3,12a2,14a

In the following exercises, factor the greatest common factor from each polynomial.

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Factor completely using trial and error-

18x2-3xy-10y2.
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