# Which number is a zero of the function f(x)=x^2-x-6?

Feb 14, 2016

Zeros of the function are $- 2$ and $3$.

#### Explanation:

To find zero of the function f(x)=x^2−x−6, solve x^2−x−6=0.

For this, x^2−x−6=0 can be written as x^2−3x+2x−6=0

or x(x−3)+2(x−3)=0 or $\left(x + 2\right) \left(x - 3\right) = 0$

or $x = - 2 \mathmr{and} 3$

Hence, zeros of the function are $- 2$ and $3$.