(i)[3]
Find the value for $a$.
(ii)[3]
When $a$ takes this value, factorise $p(x)$ completely.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
The polynomial $ax^3 - 20x^2 + x + 3$, with $a$ as a constant, is called $p(x)$. It is stated that $(3x + 1)$ is a factor of $p(x)$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Substitute $x=-\frac{1}{3}$, or divide by $3x+1$, and reach a correct equation” …
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