What the answer when you factor this polynomial expression.

3x2 + 30x + 75

3 (x + 5) (x + 5)

Step-by-step explanation:

3x² + 30x + 75

Here's one way to do it.

Step 1. Factor out the highest common factor of all three terms.

You can factor out a 3.

3 (x² + 10x + 25) = 0

Step 2. Factor the remaining polynomial

We must find two numbers whose product is 25 and whose sum is 10.

A little trial-and-error gives us 5 and 5.

5 * 5 = 25; 5 + 5 = 10

We can factor the expression as

3 (x + 5) (x + 5)