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1.1.10 Algebra and functions

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Question 53

Let $f(x) = 6x^3 + 13x^2 - 4x - 15$ .

Use the factor theorem to show that $(2 x + 3)$ is a factor of $f (x)$ .

[2]

Hence, using algebra, write $f (x)$ as a product of three linear factors.

[3]

Solve, for $π2<θ<π\frac{\pi}{2} < \theta < \pi$ , the equation

6\tan^3 \theta + 13\tan^2 \theta - 4\tan \theta - 15 = 0

giving your answers to 3 significant figures.

[4]

Markscheme

1.1.10 Algebra and functions Questions

A Level
Maths
1.1.10 Algebra and functions

64 exam-style questions on CCEA A Level Maths 1.1.10 Algebra and functions. Each one has a worked solution and a mark scheme showing where the marks go.

1.1.10 Algebra and functions

Question bank

1.1.10 Algebra and functions

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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 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58

Question 53

Let $f(x) = 6x^3 + 13x^2 - 4x - 15$ .

Use the factor theorem to show that $(2 x + 3)$ is a factor of $f (x)$ .

[2]

Hence, using algebra, write $f (x)$ as a product of three linear factors.

[3]

Solve, for $π2<θ<π\frac{\pi}{2} < \theta < \pi$ , the equation

6\tan^3 \theta + 13\tan^2 \theta - 4\tan \theta - 15 = 0

giving your answers to 3 significant figures.

[4]

Markscheme

1.1.10 Algebra and functions Questions

A Level
Maths
1.1.10 Algebra and functions

64 exam-style questions on CCEA A Level Maths 1.1.10 Algebra and functions. Each one has a worked solution and a mark scheme showing where the marks go.