What conclusions can you draw about the roots of the equation x^3+x^2-2x+12=0

Question

asked Jul 23, 2021 48.2k views

1 Answer

Bhanuday Birla · Answer 1 · 2021-07-29T02:18:28+0000

Answer:

x=-3

Explanation:

If x=-3, then

x³+x²-2x+12=-27+9+6+12=-27+27=0

If this is true, then x+3 is a factor. So:

x³+x²-2x+12/x+3=x²-2x+4

So the factors of x³+x²-2x+12 are:

(x+3)(x²-2x+4)

((x²-2x+4) has no real roots)........