Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

Let the polynomial $p(x)$ be $p(x) = 6x^3 + ax^2 + 9x + b$, with $a$ and $b$ as constants. You are told that $(x - 2)$ and $(2x + 1)$ are factors of $p(x)$.
(main)[5]

Determine the values of $a$ and $b$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Replace $x=2$ and set equal to zero” …

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