Hi MHF!

I've been having some problems recently with word problems. I'm still not used to English, I guess.

So:

Consider the Integral expression in $\displaystyle x$.

$\displaystyle P=x^3+x^2+ax+1$

Where $\displaystyle a=??$ and the value of $\displaystyle P$ is a rational number for any $\displaystyle x$ which satisfies the equation $\displaystyle x^2+2x-2=0$, and in this case the value of $\displaystyle P$ is:

I'm sorry if there's any typos in there, I've copied this some time ago.

What "the integral expression in $\displaystyle x$" means?

$\displaystyle \int[x^3+x^2+ax+1]$ or maybe $\displaystyle d/dx [x^3+x^2+ax+1]$ ?

Not having a clue on how to start, I've tried to resolve $\displaystyle x^2+2x-2=0$.

Still with $\displaystyle -1+(3)^(1/2)$ and $\displaystyle -1-(3)^(1/2)$, no luck.

$\displaystyle P$ represents many numbers, right? But what number does it actually ask for?

Is $\displaystyle P=-1+(3)^(1/2)$ and $\displaystyle -1-(3)^(1/2)$ ?

$\displaystyle (3)^(1/2)$ is supposed to be a root

*completely lost*

Thanks :3