Question

Ifx-10 is a factor of x2 - 8x - 20, what is the other
factor?
x +

Answer 1

Explanation:

Answer 2

`f(x) = x^2 -8x -20`

We know that one factor is (x-10). We know that we need to find two values that added we got -8 and multiplied we got -20. So then we can set the following options:

`a(10) = -20`

`a-10= -8`

And solving for a we got:

`a = -8+10=-2`

And we got:

`a = -2`

So then the other factor would
`x +2`

Explanation:

For this case we have the following expression:

`f(x) = x^2 -8x -20`

We know that one factor is (x-10). We know that we need to find two values that added we got -8 and multiplied we got -20. So then we can set the following options:

`a(10) = -20`

`a-10= -8`

And solving for a we got:

`a = -8+10=-2`

And we got:

`a = -2`

So then the other factor would
`x +2`