# How do you find the polynomial function with roots 1, -2, and 5?

##### 1 Answer

Jul 13, 2015

A polynomial function with roots 1, -2, and 5 would be

Note however that there are infinitely many polynomial function with these roots.

#### Explanation:

If

then

Obviously, if

Although there are infinitely many polynomials with the specified roots, all such polynomials in x will be multiples of f(x), i.e. they will have f(x) as a factor.