Find the polynomial function with leading coefficient 3 that has the given degree and zeros.

a.) Degree 3, with - 2, 1, and 4 as zeros

So you know that there are three zeroes, and that it is to the 3rd degree, so you know that there are going to be 3 terms initially.

(x+2) (x-1) (x-4) - You can multiply by 3 at the end

x^2 - x + 2x - 2

(x^2 + x - 2) (x - 4)

x^3 - 4x^2 + x^2 - 4x - 2x + 8

x^3 - 3x^2 - 6x + 8

f (x) = 3x^3 - 9x^2 - 18x + 24