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Chapter 6: Q. 130E (page 590)

In the following exercises, factor using substitution.x2鈭�13x2-30

Short Answer

Expert verified

The factors arex2+2x2-15

Step by step solution

01

Step 1. Given Information

The trinomial isx4鈭�13x2鈭�30

Find factors using substitution method.

02

Step 2. Find the term for substitution

Rewrite the trinomial to prepare for the substitution

x22-13x2-30

Substitute

x2=u

So, trinomial becomes,

u2-13u-30

03

Step 3. Factor the trinomial.

Split the middle term of trinomial to find factors

u2+2u-15u-30

Factor it

uu+2-15u+2u+2u-15

04

Step 4. Substitute back u

Substitute back u=x2

x2+2x2-15

05

Step 5. Check

Multiply all factors

x2+2x2-15x4+2x2-15x2-15x4-13x2-15

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