Skip to content

Course home

Algebraic Methods

Algebraic Methods

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536
Question 24

Given (x+3)(x + 3)(x+3) and (x−5)(x - 5)(x−5) are both factors of f(x)f(x)f(x), where

f(x)=px3−7x2−43x+q f(x) = px^3 - 7x^2 - 43x + q f(x)=px3−7x2−43x+q

Find the values of p p\,p and qqq.

[4]
Markscheme

Algebraic Methods Questions

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

40 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 7.1 Algebraic Fractions, 7.2 Dividing Polynomials, 7.3 The Factor Theorem, 7.4 Mathematical Proof, and 7.5 Methods of Proof. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank