Q 181 - Intermediate Algebra

Question

In the following exercises, factor completely using the difference of squares pattern, if possible.
$24p^2+54$

Step-by-Step Solution

Answer

The complete factor of trinomial is not possible.

Step 1. Given information

Consider the given trinomial.

$24p^2+54$

Step 2. Find the factor using difference of square pattern.

Check if the given trinomial is a difference. 

As there is a plus sign between the terms, it is not a difference.

Check if the first term of trinomial is a perfect square.

The first term is $24p^2$ and it is not a perfect square.

Check if the last term of the trinomial is a perfect square.

The last term is $54$ and it is not perfect square.

Since, given trinomial is not a difference and first and last terms are not a perfect squares, it cannot be factroized completely.