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Algebraic Methods

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Question 44
89%

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)=36f(-5) = 36f(−5)=36

a.

Find the values of p p\,p and qqq

[4]
b.

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

[4]

Algebraic Methods Questions

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

Practise Edexcel A Level Maths Algebraic Methods with exam-style questions for A Level Maths. 261 questions covering 7.1 Algebraic Fractions, 7.2 Dividing Polynomials, 7.3 The Factor Theorem, 7.4 Mathematical Proof, and 7.5 Methods of Proof, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank