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1.2.10 Manipulating polynomials

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Question 53

Given that

f(x) = 2x^3 - 5x^2 + 8x + k

where $k$ is a constant.

Given that $(2 x - 1)$ is a factor of $f (x)$ ,

use the factor theorem to show that $k = - 3$ .

[3]

Hence show that the equation $f (x) = 0$ has only one real root.

[4]

Markscheme

1.2.10 Manipulating polynomials Questions

A Level
Maths
1.2.10 Manipulating polynomials

72 exam-style questions on OCR A Level Maths 1.2.10 Manipulating polynomials. Each one has a worked solution and a mark scheme showing where the marks go.

1.2.10 Manipulating polynomials

Question bank

1.2.10 Manipulating polynomials

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Question 53

Given that

f(x) = 2x^3 - 5x^2 + 8x + k

where $k$ is a constant.

Given that $(2 x - 1)$ is a factor of $f (x)$ ,

use the factor theorem to show that $k = - 3$ .

[3]

Hence show that the equation $f (x) = 0$ has only one real root.

[4]

Markscheme

1.2.10 Manipulating polynomials Questions

A Level
Maths
1.2.10 Manipulating polynomials

72 exam-style questions on OCR A Level Maths 1.2.10 Manipulating polynomials. Each one has a worked solution and a mark scheme showing where the marks go.