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1 Unit 1: Pure Mathematics A

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Question 68

It is given that f(x)=x3−3x2−10x+24f(x) = x^3 - 3x^2 - 10x + 24f(x)=x3−3x2−10x+24

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.

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

[3]
c.

Hence solve the equation f(3y)=0f\left(3^y\right) = 0f(3y)=0, giving your answers to 3 significant figures where appropriate.

[3]
Markscheme

1 Unit 1: Pure Mathematics A Questions

  1. A Level
  2. /Maths
  3. /1 Unit 1: Pure Mathematics A

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