Question

What polynomial has roots of -1, -2, and 3

Answer 1

x3 + 6x2 + 11x + 6
x3 - x2 - 5x + 2
x3 + 2x2 - 7x + 2
x3 - 7x - 6

Answer 2

a(x-r1)(x-r2)(x-r3)

Answer 3

Factor theorem.
The possible factors are:
(x - (-1))
(x - (-2))
(x - (-3))

Multiply the factors together.

Answer 4

I don't understand

Answer 5

I multiply x ans 1?

Answer 6

f(r) = 0 if f(x) has those roots is another method to check

Answer 7

so it is x3 - x2 - 5x + 2

Answer 8

x3 - x2 - 5x + 2
0 -1 2 3
-1 1 -2 -3 5 not 0

not that one

Answer 9

-1 -1 +5 +2 = 5, so -1 aint a root and it needs to be