Question

Name the binomial you can multiply by (x 9) to get the product x^2 5x - 36.

a. 4 - x
b. x 6
c. x - 4
d. x - 6

Answer 1

If you would like to solve (x^2 + 5x - 36) / (x + 9), you can do this using the following steps:

a = ?
(x + 9) * (x + a) = (x^2 + 5x - 36)
x^2 + ax + 9x + 9a = x^2 + 5x - 36
ax + 9x = 5x
a + 9 = 5
a = 5 - 9
a = - 4

The correct result would be c. x - 4.