Polynomial function

Question

Find a polynomial function that has the given zeros. (There are many correct answers.)

0, −5, −7

f(x) =

Answer 1

If c is a zero, then x - c is a factor.

f(x) = a(x - 0)(x - (-5))(x - (-7)), where a is a nonzero constant.

So, for example, if a = 1, then f(x) = x(x + 5)(x + 7). Multiply to get a polynomial function with the given roots.