Question

find the polynomial function with leading oefficient 2, degree 3, with -2, 1, and 4 as zeros

Answer 1

how do i do it?

Answer 2

\[2(x+2)(x-1)(x-4)\]

Answer 3

y=2(x+2)(x-1)(x-4)

Answer 4

i know that the answer is 2x^3 -6x^2 -12x +16 but how do i get that

Answer 5

Those zeros (-2, 1, 4), when plugged into the x's, should make the polynomial 0. You get that by multiplying 2 with (x+2) with (x-1) with (x-4).

Answer 6

do you understand what it means to BE a zero of a polynomial?