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Algebraic Methods

Algebraic Methods

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Question 52

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

a.

Prove that (2x−1)(2x - 1)(2x−1) is a factor of p(x)p(x)p(x).

[2]
b.

Factorise p(x)p(x)p(x) completely.

[3]
c.

Prove that there are no real solutions to the equation

12sec⁡2θ+2cos⁡θ3=83sec⁡θ+1 \frac{12 \sec^2 \theta + 2 \cos \theta}{3} = \frac{8}{3} \sec \theta + 1 312sec2θ+2cosθ​=38​secθ+1
[4]
Markscheme

Algebraic Methods Questions

  1. A Level
  2. /Maths
  3. /Algebraic Methods

368 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division. Each one has a worked solution and a mark scheme showing where the marks go.

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