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1.2 Algebra and Functions

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Question 64

Let L(x)=2x3−3x2−8x+12L(x) = 2x^3 - 3x^2 - 8x + 12L(x)=2x3−3x2−8x+12.

a.

Prove that (2x−3)(2x - 3)(2x−3) is a factor of L(x)L(x)L(x).

[2]
b.

Factorise L(x)L(x)L(x) completely.

[3]
c.

Prove that there are no real solutions to the equation

2sin⁡2ϕ+12csc⁡ϕ4=34sin⁡ϕ+2 \frac{2 \sin^2 \phi + 12 \csc \phi}{4} = \frac{3}{4} \sin \phi + 2 42sin2ϕ+12cscϕ​=43​sinϕ+2
[4]
Markscheme

1.2 Algebra and Functions Questions

  1. A Level
  2. /Maths
  3. /1.2 Algebra and Functions

302 exam-style questions on WJEC A Level Maths 1.2 Algebra and Functions, covering 1.2.1 Algebra and Functions, 1.2.2 Algebra and Functions, 1.2.3 Algebra and Functions, 1.2.4 Algebra and Functions, 1.2.5 Algebra and Functions, 1.2.6 Algebra and Functions, 1.2.7 Algebra and Functions, 1.2.8 Algebra and Functions, 1.2.9 Algebra and Functions, 1.2.10 Algebra and Functions, 1.2.11 Algebra and Functions, and 1.2.12 Algebra and Functions. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank