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Chapter 6: Q. 151E (page 590)

In the following exercises, factor each expression using any methodx4鈭�4x2鈭�12

Short Answer

Expert verified

The factors arex2+2x2-6

Step by step solution

01

Step 1. Given Information

The trinomial isx4鈭�4x2鈭�12

Find factors using substitution method.

02

Step 2. Find the term for substitution

Rewrite the trinomial to prepare for the substitution

x22-4x2-12

Substitute x2=u

So, trinomial becomesu2-4u-12

03

Step 3. Factor the trinomial

Split the middle term of trinomial to find factors

u2+2u-6u-12

Factor it

uu+2-6u+2u+2u-6

04

Step 4. Substitute back u

Substitute back u=x2

x2+2x2-6

05

Step 5. Check

Multiply all factors x2+2x2-6

x4+2x2-6x2-12x4-4x2-12

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