Question

What polynomial has roots of -1, -2, and 3 ?
A. x3 + 6x2 + 11x + 6
B. x3 - x2 - 5x + 2
C. x3 + 2x2 - 7x + 2
D. x3 - 7x - 6

Answer 1

polynomial that has roots a b c, it can be written as
(x-a)(x-b)(x-c)

and to get the polynomial you would need to expand the expression.

For example,
if you are given that a polynomial has root 3, -4 and -8
you will write
(x-3)(x+4)(x+8)
and expand that, so you get
x³+9x²-4x-96.

So, in your case, you are given a polynomial with roots -1 , -2, 3.
Say, (x+1)(x+2)(x-3)

Expand that, and you get
x³-7x-6.

Answer 2

Hope this makes sense, and let me know if you need more help on the problem.

Answer 3

thank you so much!

Answer 4

yw, have fun:)