Question

How do you factor `5v ^ { 2} + 50v + 80`?

Answer 1

$$5v^2+50v+80=5(v+2)(v+8)$$

Explanation:

1. All of the numbers given can be divided by 5, so the first step is to factor out the 5:

$$5(v^2+10v+16)$$

1. Now we need to find two numbers that when multiplied = 16 and when added together = 10. The numbers that fit this are 2 and 8 and so the final answer becomes:

$$5(v+2)(v+8)$$