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Algebraic Methods

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Question 43

Given (x+2)(x + 2)(x+2) and (x−4)(x - 4)(x−4) are both factors of f(x)f(x)f(x), where

f(x)=px3−5x2−14x+q f(x) = px^3 - 5x^2 - 14x + q f(x)=px3−5x2−14x+q
a.

Show that

8p−q=8 8p - q = 8 8p−q=8
[1]
b.

Hence find the values of p p\,p and qqq.

[3]
Markscheme

Algebraic Methods Questions

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

257 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.

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