Question

Factor the following expression completely. Write your answer in simplest form.

−m^7−10m^6−25m^5

Answer 1

-m^5 (m+5)^2

Explanation:

−m^7−10m^6−25m^5

Factor out the greatest common factor, -m^5

-m^5( m^2 + 10m +25)

We can factor the term inside the parentheses

What two numbers multiply to 25 and add to 10

5*5 =25

5+5= 10

-m^5 ( m+5)(m+5)

-m^5 (m+5)^2