(a)[5]
As $(x - 1)$ and $(x + 2)$ are factors of $p(x)$, determine the values of $a$ and $b$.
(b)[3]
With these values of $a$ and $b$, determine the quotient obtained when $p(x)$ is divided by $x^2 + x - 2$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
We write $p(x)$ for the polynomial $x^4 + ax^3 - x^2 + bx + 2$, with $a$ and $b$ fixed constants.
Worked solution & mark scheme
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