1.5 Algebraic Division
31
0/9

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 + 1312sec2θ+2cosθ​=38​secθ+1

[4]

1.5 Algebraic Division Questions

Practise Edexcel A Level Maths 1.5 Algebraic Division with exam-style questions for A Level Maths. 65 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

PreviousNext

1.5 Algebraic Division Questions

  1. A Level
  2. /Maths
  3. /1.5 Algebraic Division