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Question 78

It is given that $g(x) = 4x^3 - 8x^2 - 35x + 75$

Use the factor theorem to show that $(x + 3)$ is a factor of $g (x)$ .

[2]

Hence show that $g (x)$ can be written in the form $g(x) = (x + 3)(ax + b)^2$ , where $a\,$ and $b\,$ are constants to be found.

[4]

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 78

It is given that $g(x) = 4x^3 - 8x^2 - 35x + 75$

Use the factor theorem to show that $(x + 3)$ is a factor of $g (x)$ .

[2]

Hence show that $g (x)$ can be written in the form $g(x) = (x + 3)(ax + b)^2$ , where $a\,$ and $b\,$ are constants to be found.

[4]

Markscheme

1.1 Proof Questions

A Level
Maths
1.1 Proof