Answer:
k = 9
Step-by-step 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 [tex]x^{2}[/tex] and add up to 11x.
18[tex]x^{2}[/tex] 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:
[tex]x^{2}[/tex] + 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.
