Question

How do you write a polynomial function with the given zeros 1, –2, and 5?

Answer 1

`x^3-4x^2-7x+10`

Explanation:

A polynomial with a zero at `x=a` has a factor `(x-a)`, so the required polynomial is: `(x-1)(x+2)(x-5)`
`=(x^2+x-2)(x-5)`
`=x^3-4x^2-7x+10`