Question

What polynomial has roots of -4, 1, 6?
a. x^3 - 3x^2 - 22x + 24
b. x^3 - x^2 - 26x - 24
c. x^3 + 3x^2 + 14x - 24
d. x^3 + x^2 - 26x + 24

Answer 1

A

Answer 2

\[(x+4)(x-1)(x-6)\]
Can you multiply them?

Answer 3

This is because the roots are solutions to the polynomial. So we write them in that form first and then multiply the terms to get the polynomial.

Answer 4

x^3 - 24?

Answer 5

what happened to your \[x^2\] and \[x\] values?

Answer 6

I don't know what to do?

Answer 7

ok multiply all terms together, can you do that?