Polynomials, Cubic Equations and Partial Fractions - Cubic Expressions and Equations

Polynomials, Cubic Equations and Partial Fractions - Cubic Expressions and Equations

TGM Original Questions
  1. Solve the cubic equation \(4{{x}^{3}}-3{{x}^{2}}-9x-2=0\).
  2. Hence solve the equation \(4{{\left( y-3 \right)}^{3}}-3{{\left( y-3 \right)}^{2}}-9\left( y-3 \right)-2=0\).

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Answer:(i) \({x = 2, -\frac{1}{4} \text{ or} -1}\) (ii) \({y = 5, \frac{11}{4} \text{ or}\hspace{0.5em} 2}\)

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