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)