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1.5 B: Algebra and functions

1.5 B: Algebra and functions

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Question 18

It is given that f(x)=3x3−5x2−7x+10f(x) = 3x^3 - 5x^2 - 7x + 10f(x)=3x3−5x2−7x+10

a.

Use the factor theorem to show that (x−2)(x - 2)(x−2) is a factor of f(x)f(x)f(x).

[2]
b.

Hence, or otherwise, solve the equation 3x3−5x2−7x+10=03x^3 - 5x^2 - 7x + 10 = 03x3−5x2−7x+10=0, giving your answers to 2 decimal places where appropriate.

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Markscheme

1.5 B: Algebra and functions Questions

  1. A Level
  2. /Maths
  3. /1.5 B: Algebra and functions

532 exam-style questions on AQA A Level Maths 1.5 B: Algebra and functions, covering 1.5.1 Laws of indices, 1.5.2 Surds, 1.5.3 Quadratic functions, 1.5.4 Simultaneous equations, 1.5.5 Linear and quadratic inequalities, 1.5.6 Polynomials and rational expressions, 1.5.7 Graphs of functions and proportion, 1.5.8 Composite and inverse functions (A-level only), 1.5.9 Transformations of graphs, 1.5.10 Partial fractions (A-level only), and 1.5.11 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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