# Which of the following is a factor of the polynomial x^{2} – x – 20.

# a) (x – 5) b) (x + 5) c) (x – 4) d) (x + 4)

The factor of a polynomial can be found by splitting the middle term method.

## Answer: (x – 5) and (x + 4) are the factors of the polynomial x^{2] – x – 20.

The given expression is a quadratic expression. Let's explore the factorization of a quadratic expression.

**Explanation: **

To find the factors of the polynomial x^{2} – x – 20, we start with splitting the middle term

The middle term should be split in such a way that the product of the split terms is the same as that of the first term and the constant.

x^{2} – (5 - 4)x – 20 = x^{2} – 5x + 4x – 20

= x(x – 5) + 4(x – 5)

= (x – 5) (x + 4)

So, x^{2} – x – 20 when factored, we get x^{2} – x – 20 = (x – 5) (x + 4)