(a)[5]
Determine the values of $a$ and $b$.
(b)[2]
When $a$ and $b$ take these values, find the real roots of the equation $p(x) = 0$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Let $p(x)$ denote the polynomial $4x^4 + ax^2 + 11x + b$, where $a$ and $b$ are constants. It is stated that $p(x)$ is divisible by $x^2 - x + 2$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Start the division by $x^2-x+2$ and arrive at a partial quotient $4x^2+kx$.” …
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