# How do you factor completely #2b^2+14b-16#?

##### 1 Answer

May 3, 2018

#### Answer:

#### Explanation:

To factor, we have to find the GCF, or Greatest Common Factor. This means the largest factor that all expressions have.

Therefore, the GCF is

We can still factor

This expression is in standard form, or

When we factor trinomials, we need two numbers that:

- Add up to
#b# (in this case, that means#7# ) - Multiply up to
#a * c# (in this case, that means#1 * -8 = -8# )

Those two numbers are

#8 - 1 = 7# #8 * -1 = -8#

Now, we put it in factored form:

Adding on with the earlier factored out

Hope this helps!