# Name the binomial you can multiply by (x + 9) to get the product x^{2} + 5x - 36?

4 - x, x + 6, x - 4,x - 6

**Solution:**

Given: Quadratic equation is x^{2 }+ 5x - 36

By splitting the middle term

= x^{2} + 9x - 4x - 36

Taking out the common terms

= x(x + 9) - 4(x + 9)

= (x + 9)(x - 4)

(x + 9) is the given polynomial

Consider the other binomial as z

(x + 9)× z = x^{2} + 5x - 36

It can be written as

z = (x^{2} + 5x - 36)/(x + 9)

z = [(x + 9)(x - 4)]/(x + 9)

z = x - 4

Therefore, (x - 4) is the other binomial.

## Name the binomial you can multiply by (x + 9) to get the product x^{2} + 5x - 36?

**Summary:**

The binomial you can multiply by (x + 9) to get the product x^{2} + 5x - 36 is (x - 4).