please explain how can I answer this one :) I know the answer should be a.) -4 & b.) -1.

could you explain how will I come up with that answer? Thank you :)

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- Mar 28th 2013, 10:27 PMRenrielook for the value that satisfies the equation
please explain how can I answer this one :) I know the answer should be a.) -4 & b.) -1.

could you explain how will I come up with that answer? Thank you :)

Attachment 27728 - Mar 29th 2013, 04:59 AMRuunRe: look for the value that satisfies the equation
Hint $\displaystyle x^3+x^2+ax+1=(x-x_1)(x^2+2x-2)$ or $\displaystyle \frac{x^3+x^2+ax+1}{x^2+2x-2}=(x-x_1)$

- Mar 29th 2013, 06:27 AMHallsofIvyRe: look for the value that satisfies the equation
That's very clever! I would have just

**solved**$\displaystyle x^2+ 2x- 2$ to see that the only x that satisfy that equation are $\displaystyle -1+\sqrt{3}$ and $\displaystyle -1- \sqrt{3}$, then put those into P to see how I could cancel that irrational "$\displaystyle \sqrt{3}$" part. But Ruun's hint is much simpler. - Mar 30th 2013, 02:00 AMpaulianaRe: look for the value that satisfies the equation
I'm trying to solve it to but I don't get the equation. should I substitute the given?

- Mar 30th 2013, 05:07 AMHallsofIvyRe: look for the value that satisfies the equation
You have been told two different ways to solve this problem. Please show what you have tried and where you are stuck.