Question

I know the answer, I need to know how to solve​

Answer 1

k = 9

Explanation:

For this, we can factor the top expression to look like the bottom expression.

So, first we have to find the gcf of 18 and
`x^(2)` and add up to 11x.

18
`x^(2)` 11x

1 and 18 19 - No

2 and 9 11 - Yes

3 and 6 9 - No

So, the numbers are 2 and 9. The expression should now look like this:

`x^(2)` + 2x + 9x + 18

Now, undistribute the terms.

x(x + 2) + 9(x + 2)

(x+2)(x+9)

This matches up with the bottom expression.

The value of k is 9.