Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

(main)[3]

Find the quotient and the remainder after dividing $3x^4 - 2x^2$ by $x + 1$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Start the division and reach a partial quotient of the form $3x^3\pm3x^2$ or $3x^4-2x^2=(x+1)(Ax^3+Bx^2+Cx+D)+Ex+F$, with $A=3$, $B=\pm3$.

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