How do you factor x^3+7x^2+8x-16?
Thanks.
I kinda have a clue right now. So you are trying to get the number that will make the equation equals to zero? I plugged all these numbers into my calculator, and it turns out that 1 will make the equation equals to zero.
Yep!
The factor theorem says: For $\displaystyle f(x)$, if $\displaystyle f(a)=0$ then $\displaystyle x-a$ is a factor.
Great, so therefore $\displaystyle (x-1)$ is a factor.
Now find $\displaystyle \displaystyle \frac{x^3+7x^2+8x-16}{x-1}= \dots $ and you are done!