(i)[4]
Determine the values of $a$ and $b$.
(ii)[3]
Given these values of $a$ and $b$, determine the remainder when $p(x)$ is divided by $(x^2 + 1)$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Let $p(x)$ be the polynomial $4x^3 + ax^2 + bx - 2$, with $a$ and $b$ as constants. It is stated that $(x + 1)$ and $(x + 2)$ are factors of $p(x)$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Set $p(-1)$ or $p(-2)$ equal to zero, or divide by $(x+1)$ or $(x+2)$ and make the remainder equal to zero” …
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