Question

What are all the zeros of the function f(x)= x^2 −x−56=0

Answer 1

The Solution.

The given function is

`f(x)=x^2-x-56=0`

Solving quadratically using the factorization method, we get

`f(x)=x^2-8x+7x-56=0`
`f(x)=x(x-8)+7(x-8)=0`
`(x+7)(x-8)=0`
`\begin{gathered} x+7=0,\text{ or x -8 =0} \\ x=-7,\text{ or x = 8} \end{gathered}`

Hence, the zeros of the function are -7 or 8