The partial fraction decomposition of \dfrac{9x + 20}{12x^2 - 5x - 25} can be written in the form...
Question:
The partial fraction decomposition of {eq}\dfrac{9x + 20}{12x^2 - 5x - 25} {/eq} can be written in the form of {eq}\dfrac{f(x)}{4x + 5} + \dfrac{g(x)}{3x - 5} {/eq}, where
{eq}f(x) = \enspace \rule{2cm}{0.4pt} \\ g(x) = \enspace \rule{2cm}{0.4pt} {/eq}
Partial Fraction Decomposition:
The rules for the decomposition into partial fractions of a fraction between polynomials depends on the roots of the polynomial in the denominator. For example, if the polynomial of the denominator has n different real roots, we obtain the sum of fractions of the type: {eq}\dfrac{a}{x-x_0} {/eq}
Answer and Explanation: 1
Become a Study.com member to unlock this answer! Create your account
View this answerGiven:
$$\begin{align}
\dfrac{9x + 20}{12x^2 - 5x - 25}\\[0.3cm]
\end{align}
$$
The given fraction is proper, we can apply the simple fraction...
See full answer below.
Learn more about this topic:
from
Chapter 3 / Lesson 25Learn about how to carry out partial fraction decomposition with polynomial fractions. Discover example equations and walkthroughs of partial fraction decomposition.