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1.5.6 Polynomials and rational expressions

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Question 16

The cubic polynomial $6x^3 + kx^2 - 19x + 4$ is denoted by $f (x)$ , where $k\,$ is a constant.

It is given that $(2 x - 1)$ is a factor of $f (x)$ .

Use the factor theorem to show that $k = 19$ .

[2]

Using this value of $k$ , factorise $f (x)$ completely.

[3]

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

Easy Medium Hard

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29

Question 16

The cubic polynomial $6x^3 + kx^2 - 19x + 4$ is denoted by $f (x)$ , where $k\,$ is a constant.

It is given that $(2 x - 1)$ is a factor of $f (x)$ .

Use the factor theorem to show that $k = 19$ .

[2]

Using this value of $k$ , factorise $f (x)$ completely.

[3]

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.