Write a quadratic function f whose zeros are -2 and -7

Answer 1

If we know that c is a zero of f, then f(c) = 0.

We also know that (x - c) is a factor of f.

Since we are given that the zeros are -2 and -7, then we know that (x + 2) and (x + 7) must be factors of f.

Thus, f(x) = (x + 2)(x + 7) = x² + 9x + 14