(i)[5]
Determine the values of $a$ and $b$.
(ii)[3]
Using these values of $a$ and $b$, factorise $p(x)$ completely.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Let $p(x)=ax^3+bx^2+37x+10$, where $a$ and $b$ are constants. It is known that $(x + 2)$ divides $p(x)$. It is also known that the remainder is $40$ when $p(x)$ is divided by $(2x - 1)$.
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This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Replace $x$ with $-2$ and set the expression equal to zero” …
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