Question

Find the remainder of the division problem shown below.
f(x)=x^3+2x^2-6x-9 / x+2

Answer 1

3\[\frac{x^3+2 x^2-6 x-9}{x+2}=\left(x^2-6\right)+\frac{3}{x+2} \]

Answer 2

Thanks

Answer 3

Your are welcome.

Answer 4

another method ... use remainder theorem
\[ f(x) = x^3+2x^2-6x-9\]
\[ f(-2) = (-2)^3 + 2(2)^2 - 6(-2) - 9 = 3 \]
http://www.wolframalpha.com/input/?i=x^3%2B2x^2-6x-9+%2C+x%3D-2