Question

What is 5m2- 15m- 200

Answer 1

Answer:

5(m + 5) (m - 8)

Step-by-step explanation:

5m2- 15m- 200

Start by pulling 5 out.

5(m^2 - 3m - 40)

We consider all factors of 40  

1    40

2   20

4    10

5     8

Based on the middle term we know that 5   and 8 are our best option.

5(m     5) (m     8)

We know the signs have to be one + and one -  because a - * - = + and + * + = +

Since 5 - 8 would give us -3 we know that our answer is

5(m + 5) (m - 8)