MATH SOLVE

2 months ago

Q:
# what the answer when you factor this polynomial expression.3x2 + 30x + 75

Accepted Solution

A:

Answer: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)