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Find $a$ and $b$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Let $p(x)$ represent the polynomial $x^4 + 3x^3 + ax + b$, where $a$ and $b$ are constants. On division of $p(x)$ by $x^2 + x - 1$, the remainder is $2x + 3$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Carry out the division and reach partial quotient $x^2+kx$” …
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