Skip to content

Course home

1.1 Algebra and functions

1.1 Algebra and functions

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189
Question 118

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

1.1 Algebra and functions Questions

  1. A Level
  2. /Maths
  3. /1.1 Algebra and functions

306 exam-style questions on CCEA A Level Maths 1.1 Algebra and functions, covering 1.1.1 Algebra and functions, 1.1.2 Algebra and functions, 1.1.3 Algebra and functions, 1.1.4 Algebra and functions, 1.1.5 Algebra and functions, 1.1.6 Algebra and functions, 1.1.7 Algebra and functions, 1.1.8 Algebra and functions, 1.1.9 Algebra and functions, 1.1.10 Algebra and functions, 1.1.11 Algebra and functions, 1.1.12 Algebra and functions, 1.1.13 Algebra and functions, and 1.1.14 Algebra and functions. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank