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1.2.8 Algebra and Functions

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Question 28

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

1.2.8 Algebra and Functions Questions

A Level
Maths
1.2.8 Algebra and Functions

72 exam-style questions on WJEC A Level Maths 1.2.8 Algebra and Functions. Each one has a worked solution and a mark scheme showing where the marks go.

1.2.8 Algebra and Functions

Question bank

1.2.8 Algebra and Functions

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Question 28

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

1.2.8 Algebra and Functions Questions

A Level
Maths
1.2.8 Algebra and Functions

72 exam-style questions on WJEC A Level Maths 1.2.8 Algebra and Functions. Each one has a worked solution and a mark scheme showing where the marks go.