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Algebraic Methods

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Question 6

f(x)=2x3−5x2−8x+15f(x) = 2x^3 - 5x^2 - 8x + 15f(x)=2x3−5x2−8x+15

a.

Use the factor theorem to show that (x−3)(x - 3)(x−3) is a factor of f(x)f(x)f(x)

[2]
b.

Hence, or otherwise, solve the equation 2x3−5x2−8x+15=02x^3 - 5x^2 - 8x + 15 = 02x3−5x2−8x+15=0 giving your answers to 2 decimal places where appropriate

[5]
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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