Skip to content

Course home

3.2 Algebra and Functions (A-level only)

3.2 Algebra and Functions (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161
Question 154
a.

Express 3x+5(x−2)2\frac{3x + 5}{(x - 2)^2}(x−2)23x+5​ in the form Ax−2+B(x−2)2\frac{A}{x - 2} + \frac{B}{(x - 2)^2}x−2A​+(x−2)2B​.

[2]
b.

Show that

∫353x+5(x−2)2 dx=p+ln⁡q \int_{3}^{5} \frac{3x + 5}{(x - 2)^2} \, dx = p + \ln q ∫35​(x−2)23x+5​dx=p+lnq

where ppp and qqq are rational numbers.

[5]
Markscheme

3.2 Algebra and Functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.2 Algebra and Functions (A-level only)

216 exam-style questions on WJEC A Level Maths 3.2 Algebra and Functions (A-level only), covering 3.2.1 Algebra and Functions (A-level only), 3.2.2 Algebra and Functions (A-level only), 3.2.3 Algebra and Functions (A-level only), 3.2.4 Algebra and Functions (A-level only), 3.2.5 Algebra and Functions (A-level only), 3.2.6 Algebra and Functions (A-level only), and 3.2 Algebra and Functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank