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Algebraic Methods

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Question 119

f(x)=x3+6x2+px+qf(x) = x^3 + 6x^2 + px + qf(x)=x3+6x2+px+q

Given that f(4)=0f(4) = 0f(4)=0 and f(−5)=kf(-5) = kf(−5)=k, where k≥0k\geq 0k≥0

a.

Find the values of p p\,p and q q\,q in terms of kkk

[4]
b.

Factorise f(x)f(x)f(x) completely.

[4]
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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