Question

What polynomial has zeros at -3, 0, 4

Answer 1

Since there are zeros at x = -3, x = 0, and x = 4, it could then be said that x+3 = 0, x = 0, and
x-4 = 0. Using that information, you can multiply them out to find the polynomial:

x(x+3)(x-4) = 0

(x²+3)(x-4) = 0

x³+4x²+3x-12 = 0

So the polynomial would be x³+4x²+3x-12