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Chapter 6: Q. 395 (page 635)

In the following exercises, factor completely using the difference of squares pattern, if possible.

24p2+54

Short Answer

Expert verified

The Factored form of given polynomial is,

6(4p2+9)

Step by step solution

01

Step 1. Given Information

We are given a polynomial,

24p2+54

02

Step 2. Factorizing the polynomial

Factoring out greatest common factor6, we get

24p2+54=6(4p2+9)

The polynomial cannot be factorized further.

03

Step 3. Checking the factorization by multiplying

Multiplying the factors, we get

6(4p2+9)=24p2+546脳4p2+6脳9)=24p2+5424p2+54=24p2+54LHS=RHS

Hence the factorization is correct.

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