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**Ilsa** Given that $\displaystyle x^5 + ax^3 + bx^2 - 3 = (x^2 - 1)Q(x) - x - 2$, where $\displaystyle Q(x)$ is a polynomial.

State the degree of $\displaystyle Q(x)$ and find the value of $\displaystyle a$ and of $\displaystyle b$.

*(I am able to deduce the degree i.e. 3*

I am also able to find the value of a ,i.e -2 and the value of b, i.e. 1.)

*However, the following question linked to the above is what I am not able to solve:*

Find also the remainder when $\displaystyle Q(x)$ is divided by $\displaystyle x + 2$.

(The answer given is -5.)