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Question 26

f(x)=4x3−4x2−5x+3f(x) = 4x^3 - 4x^2 - 5x + 3f(x)=4x3−4x2−5x+3

a.

Use the factor theorem to show that (x+1)(x + 1)(x+1) is a factor of f(x)f(x)f(x)

[2]
b.

Hence, showing all your working, write f(x)f(x)f(x) as a product of three linear factors.

[4]
c.

The finite region R R\,R is bounded by the curve with equation y=f(x)y = f(x)y=f(x) and the xxx-axis, and lies below the xxx-axis. Find, using algebraic integration, the exact value of the area of RRR.

[4]
Markscheme

Integration Questions

  1. A Level
  2. /Maths
  3. /Integration

411 exam-style questions on Edexcel A Level Maths Integration, covering 13.1 Integrating x^n, 13.2 Indefinite Integrals, 13.3 Finding Functions, 13.4 Definite Integrals, 13.5 Areas under Curves, 13.6 Areas under the x-axis, and 13.7 Areas between curves and lines. Each one has a worked solution and a mark scheme showing where the marks go.

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