What is a cubic polynomial function in standard form with zeros 4, −1, and 2?

Answer 1

The factors would be (x-4)(x+1)(x-2) Now need to multipl. Can FOIL the first 2 terms

(x²-4x+x-4)(x-2) Combine like terms

(x²-3x-4)(x-2) Now multiply these out

x³-3x²-4x-2x²+6x+8 Combine like terms

y=x³-5x²+2x+8

Answer 2

f(x) = A(x - 4)(x + 1)(x - 2)

with A real and A ≠ 0. Now expand this to standard form and finish from here.