The polynomial equation x3+x2=-9x-9 has complex roots + - 3i. What is the other root? Use a graphing calculator and a system of equations.

-9

-1

0

1

If the equation has roots of + - 3i. The equation would be,

(x + 3i) (x - 3i)

which is equal to x^2 - (3i) ^2 = x^2 + 3.

Using division either by synthetic or long method,

(x^3 + x^2 + 9x + 9) / (x^2 + 3)

is equal to,

x + 1 or x = - 1

Thus, the answer is the second choice.