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1.1 Proof

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Question 97

It is given that $f(x) = x^3 + kx - 2$ where $k\,$ is a constant, and that $(x - 2)$ is a factor of $f (x)$ .

Find the value of $k$ .

[2]

Hence factorise $f (x)$ completely.

[2]

Markscheme

1.1 Proof Questions

A Level
Maths
1.1 Proof

132 exam-style questions on OCR (MEI) A Level Maths 1.1 Proof, covering 1.1.1 Structure of mathematical proof, 1.1.2 Disproof by counter example, 1.1.3 Proof by contradiction (A-level only), and 1.1 Proof. Each one has a worked solution and a mark scheme showing where the marks go.

1.1 Proof

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1.1 Proof

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Question 97

It is given that $f(x) = x^3 + kx - 2$ where $k\,$ is a constant, and that $(x - 2)$ is a factor of $f (x)$ .

Find the value of $k$ .

[2]

Hence factorise $f (x)$ completely.

[2]

Markscheme

1.1 Proof Questions

A Level
Maths
1.1 Proof