Question

A polynomial function has zeros -3 and 4. What are the factors?

Answer 1

Factors of the function are `(x+3)` and `(x-4)`

Explanation:

When a polynomial function has zeros `alpha,beta` and `gamma`, the factors of function are

`(x-alpha)`, `(x-beta)` and `(x-gamma)`

As we have zeros `-3` and `4`, factors of the function are

`(x-(-3))` and `(x-4)` i.e. `(x+3)` and `(x-4)`

and function is `(x+3)(x-4)=x^2+3x-4x-12`

= `x^2-x-12`