(i)[3]
Find the quotient obtained when $p(x)$ is divided by $x^2 - 3x + 2$.
(ii)[3]
Hence solve the equation $p(x)=0$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
$p(x)$ is the notation used for the polynomial $x^4 - 4x^3 + 3x^2 + 4x - 4$.
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 $x^2 - 3x + 2$, or an equivalent method, and get as far as a partial quotient of $x^2 + kx$.” …
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