Question

A polynomial function has zeros at 5 and -7 and 0. Write a function in standard form that could represent this function

Answer 1

If the poly's zeros are 5, -5 and 0, then the corresponding factors are

(x-5)(x+7)(x), and the function is f(x) = (x-5)(x+7)(x).

You must multiply this out and arrange the resulting terms in descending order by powers of x.