(i)[4]
Determine the value of $a$.
(ii)[2]
Using this value of $a$, determine the real roots of the equation $p(x)=0$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Let $p(x)$ stand for the polynomial $x^4 + 3x^3 + ax + 3$. It is stated that $p(x)$ is divisible by $x^2 - x + 1$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Carry out division by $x^2-x+1$ and obtain a partial quotient of $x^2+kx$” …
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