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Algebraic Methods

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Question 126

f(x)=3x3−19x+24f(x) = 3x^3 - 19x + 24f(x)=3x3−19x+24

a.

Given that k k\,k is a real constant and (x+k)(x + k)(x+k) is a factor of f(x)f(x)f(x), use the factor theorem to show that k=3k = 3k=3.

[4]
b.

Solve the equation f(x)=0f(x) = 0f(x)=0, giving your answer in terms of kkk.

[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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