Polynomials, Cubic Equations and Partial Fractions - Forming Polynomials from Roots and Factors

Polynomials, Cubic Equations and Partial Fractions - Forming Polynomials from Roots and Factors

IP 3
4 marks

It is given that \(\mathrm{f}(x)\) is a cubic function.

  1. Express \(\mathrm{f}(x)\) in the factorised form.[3]
  2. Hence find the value of \(\mathrm{f}(1)\).[1]

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Answer:(a) \(\mathrm f(x)=-4(x+2)^2(x-3)\) (b) \(\mathrm f(1)=72\)

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