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1.5.6 Polynomials and rational expressions

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Question 41

It is given that $g(x) = 9x^3 + 12x^2 - 11x + 2$

Use the factor theorem to show that $(x + 2)$ is a factor of $g (x)$ .

[2]

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

[4]

Markscheme

1.5.6 Polynomials and rational expressions Questions

A Level
Maths
1.5.6 Polynomials and rational expressions

113 exam-style questions on AQA A Level Maths 1.5.6 Polynomials and rational expressions. Each one has a worked solution and a mark scheme showing where the marks go.

1.5.6 Polynomials and rational expressions

Question bank

1.5.6 Polynomials and rational expressions

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Question 41

It is given that $g(x) = 9x^3 + 12x^2 - 11x + 2$

Use the factor theorem to show that $(x + 2)$ is a factor of $g (x)$ .

[2]

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

[4]

Markscheme

1.5.6 Polynomials and rational expressions Questions

A Level
Maths
1.5.6 Polynomials and rational expressions

113 exam-style questions on AQA A Level Maths 1.5.6 Polynomials and rational expressions. Each one has a worked solution and a mark scheme showing where the marks go.