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Chapter 6: Q. 132E (page 590)

In the following exercises, factor using substitution(x-2)2鈭�3(x-2)-54

Short Answer

Expert verified

The factors arex-11x+4

Step by step solution

01

Step 1. Given Information

The trinomial is(x-2)2鈭�3(x-2)-54

Find factors using substitution method.

02

Step 2. Find the term for substitution

Rewrite the trinomial to prepare for the substitution

x-22-3x-2-54

Substitutex-2=u

So, trinomial becomesu2-3u-54

03

Step 3. Factor the trinomial

Split the middle term of trinomial to find factors

u2-3u-54u2-9u+6u-54

Factor it

uu-9+6u-9u-9u+6

04

Step 4. Substitute back u

Substitute back u=x-2

x-2-9x-2+6x-11x+4

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Most popular questions from this chapter

In the following exercises, factor completely using the perfect square trinomials pattern.

36s2+84s+49

Factor using the 鈥榓c鈥� method:

6x2+13x+2.

In the following exercises, find the greatest common factor.

35x3y2,10x4y,5x5y3

Factor:9xy2+6x2y2+21y3.

Factor completely using trial and error:10y2-37y+7
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