(i)[2]
If $(x - 2)$ is a factor of $p(x)$, determine the value of $a$.
(ii(a))[3]
When $a$ takes this value, factorise $p(x)$ fully.
(ii(b))[2]
Find every root of the equation $p(x^2) = 0$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
The polynomial $p(x)$ is given by $p(x) = x^3 - 3ax + 4a$, with $a$ a constant.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Put in $x=2$ and set the result to zero, or divide by $x-2$ and make the constant remainder zero” …
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