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Chapter 6: Q. 129E (page 590)

In the following exercises, factor using substitutionx4鈭�3x2-2

Short Answer

Expert verified

The factors arex2-7x2+4

Step by step solution

01

Step 1. Given Information

The trinomial isx4鈭�3x2-2

Find factors using substitution method.

02

Step 2. Find the term for substitution

Rewrite the trinomial to prepare for the substitution

x22鈭�3x2鈭�28

Substitute x2=u

So, trinomial becomesu2-3u-28

03

Step 3. Factor the trinomial

Split the middle term of trinomial to find factors

u2-7u+4u-28

Factor it

uu-7+4u-7u-7u+4

04

Step 4. Substitute back u

Substitute back u=x2

x2-7x2+4

05

Step 5. Check

Multiply all factors

x2-7x2+4x4-7x2+4x2-28x4-3x2-28

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