# If (x – 9) is a factor of x^{2} – 5x – 36, then what is the other factor?

An algebraic expression that has variables and coefficients is called a polynomial.

## Answer: The other factor of the polynomial x^{2} – 5x – 36 is (x + 4).

Let's find the factors of the polynomial.

**Explanation:**

To factorise the polynomial x^{2} – 5x – 36, we will split the middle term that is coefficient of 'x'.

⇒ x^{2} + 4x - 9x – 36

⇒ x (x + 4) - 9 (x + 4)

⇒ (x + 4) (x - 9)