Polynomials, Cubic Equations and Partial Fractions - Partial Fractions

Polynomials, Cubic Equations and Partial Fractions - Partial Fractions

TGM Original Questions

Express the following expressions in partial fractions:

  1. \(\frac{15-2x}{\left( x-1 \right)\left( {{x}^{2}}+7 \right)}\)
  2. \(\frac{x-{{x}^{2}}}{{{x}^{3}}+5x}\)
  3. \(\frac{4{{x}^{2}}+8x-10}{\left( x+2 \right)\left( {{x}^{2}}+5 \right)}\)

Video Solution:

Video Solution

Video solution locked

A free account saves your progress; this video needs tuition enrolment.

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.

Create a free account to practise similar questions.

Answer:(a) \({ \frac{13}{8(x-1)} - \frac{13x+29}{8(x^2+7)}}\) (b) \( {\frac{1-x}{x^2+5}}\) (c) \( -\frac{10}{9(x+2)} + \frac{46x-20}{9(x^2+5)}\)

Need help? Join our IP Math tuition programme.

Learn more