What is the polynomial function of least degree whose only zeros are −2 , 3, and 4?

Question

f(x)=x^3(blank)x^2(blank)x(blank)

Answer 1

Well, Mark's answer is perfectly correct, and in a more useful form, in my opinion, than "standard form", but go ahead and multiply the 3 factors together, collect terms, and you get

f(x) = x³ - 5x² -2x + 24

Answer 2

f(x) = (x + 2)(x - 3)(x - 4)