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Chapter 6: Q. 131. (page 590)

In the following exercises, factor using substitution(x鈭�3)2-5(x-3)-36

Short Answer

Expert verified

The factors arex-12x+1

Step by step solution

01

Step 1. Given information

The trinomial is (x-3)2-5(x鈭�3)-36.

Find factors using substitution method.

02

Step 2. Find the term for substitution

Rewrite the trinomial to prepare for the substitution

(x-3)2-5(x鈭�3)鈭�36

Substitute binomialx-3=u

So, trinomial becomes

u2-5u-36

03

Step 3. Factor the trinomial

Split the middle term of trinomial to find factors

u2-5u-36u2-9u+4u-36

Factor it

uu-9+4u-9u-9u+4

04

Step 4. Substitute back u

Substitute back u=x-3

x-3-9x-3+4x-12x+1

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Most popular questions from this chapter

In the following exercises, factor each trinomial of the form x2+bx+c.

y2-5y+6

Factor by Grouping
In the following exercises, factor by grouping.

4x2鈭�36x鈭�3x+27.

Find the greatest common factors:25m4,35m3,20m2.

In the following exercises, factor using the 鈥榓c鈥� method.48y2+12y鈭�36

In the following exercises, factor completely using the sums and differences of cubes pattern, if possible.
8y3-125z3
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