All mind maps topics

Algebraic divisionEdexcel International A Level Maths: Mind map

Terms
Long division
Remainder theorem

Algebraic division

divide by (ax + b)

quotientremainderremainder theorem
Worked results
Unknown constants
Exam tips

Exam questions on Algebraic division

  1. The polynomial f(x)=x3+2x2−5x+1f(x)=x^3+2x^2-5x+1 is divided by (x−2)(x-2).
    Use the remainder theorem to check your remainder.2 marks
  2. Let g(x)=6x3+x2−5x+7g(x)=6x^3+x^2-5x+7.
    Find the remainder when g(x)g(x) is divided by (x+2)(x+2).2 marks
  3. Let f(x)=4x3−8x2+x+6f(x)=4x^3-8x^2+x+6.
    Find the quotient and the remainder when f(x)f(x) is divided by (2x−1)(2x-1).3 marks
See the full worksheet

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).