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4 marksFactor Theorem

CSEC Additional Mathematics · 2017 · Paper 2 · Question 1(b)

For a polynomial function f(x) = x³ - x² - ax + b, the remainder when divided by x + 1 is 6, and x - 2 is a factor.

Determine the values of a and b.

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Other parts of this question

  1. 1(a)(i)Determine the inverse of f(x).[2 marks]
  2. 1(a)(ii)If f⁻¹(8) = 5, find the value of p.[1 mark]
  3. 1(c)(i)Use logarithms to reduce the equation to linear form.[1 mark]
  4. 1(c)(ii)Using a suitable scale, plot the best fit line of the equation in (c)(i) on the graph paper provided on page 9. Use the space below to show your working.[3 marks]
  5. 1(c)(iii)Hence, estimate the constants A and k.[3 marks]

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