Question

What polynomial has roots of -4, 1, and 6 ? x3 + x2 - 26x + 24 x3 + 3x2 + 14x - 24 x3 - x2 - 26x - 24 x3 - 3x2 - 22x + 24

Answer 1

@Ronqeiya, You can just multiply out the factors.
(X+4)(X-1)(X-6)---------------------(multiply out the first two brackets)
(X^2+3X-4)(X-6)--------------------(multiply out the next two bracket)
X^3+3X^2-22X+24-----------------(answer)

Therefore the expression with the factors -4, 1 & 6 is X^3+3X^2-22X+24
hope it helped