Factorise $2{{x}^{3}}-5{{x}^{2}}-4x+12$ completely. Hence, express \(\frac{7}{2{{x}^{3}}-5{{x}^{2}

Question

Factorise $2{{x}^{3}}-5{{x}^{2}}-4x+12$ completely. Hence, express $\frac{7}{2{{x}^{3}}-5{{x}^{2}}-4x+12}$ in partial fractions.

Accepted Answer

Factorisation $(x-2)^2(2x+3)$ Partial fractions $\frac{4}{7(2x+3)}-\frac{2}{7(x-2)}+\frac{1}{(x-2)^2}$

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