Question

If an equation has two roots -4 and 7, what could be the
quadratic equation?

Answer 1

f(x) = x^2 - 3x - 28

Explanation:

The root -4 corresponds to the factor (x + 4); the root 7 corresponds to (x - 7). The equation is thus f(x) = (x + 4)(x - 7) = x^2 - 3x - 28, or

f(x) = x^2 - 3x - 28