(i)[2]
Since $(x + 2)$ is a factor of $f(x)$, determine the value of $a$.
(ii)[3]
With $a$ equal to the value obtained in part (i), determine the quotient when $f(x)$ is divided by $(x + 2)$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
The polynomial $f(x)$ is given by $f(x) = 3x^3 + ax^2 + ax + a$, with $a$ as a constant.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Put in $-2$ and make it equal zero, or divide by $x+2$ and set the remainder to zero” …
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