Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

Define p(x) to be the polynomial ax^3 + bx^2 - 25x - 6, where a and b are constants.
(i)[5]

You are told that (x - 3) and (x + 2) are factors of p(x). Determine the values of a and b.

(ii)[2]

When a and b take these values, completely factorise p(x).

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Substitute x=3 or x=-2, then set the result equal to zero” …

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