Determine whether the statement is true or false. If it is true, explain why. If it is false,...
Question:
Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.
{eq}\displaystyle \dfrac {x^2 + 4} {x (x^2 - 4)} {/eq} can be put in the form {eq}\displaystyle \dfrac A x + \dfrac B {x + 2} + \dfrac C {x - 2} {/eq}.
Partial Decomposition:
Partial decomposition means decomposing the fraction into the sum of simplified rational expressions. They are defined only for proper fractions ({eq}\deg \left( Nr \right)<\deg \left( Dr \right) {/eq}). If the denominator can be factored, then write it as the product of factors.
Answer and Explanation: 1
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View this answerConsider the rational fraction {eq}\displaystyle \dfrac {x^2 + 4} {x (x^2 - 4)} {/eq}.
Since {eq}\deg \left( Nr \right)<\deg \left( Dr...
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Partial Fractions: Rules, Formula & Examples
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Chapter 3 / Lesson 26
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Learn about what partial fractions are and their formula. Understand the method of how to do partial fractions from the rational and improper functions.
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