Question

What is the partial fraction decomposition of StartFraction 7 x squared + 14 Over (x squared + 3) squared EndFraction?

Answer 1

The final decomposition of the given partial fraction is; 7 + (-7/(x² + 3))

How to decompose partial fractions?

We are given the polynomial fraction (7x² + 14)/(x² + 3) to decompose.

Now, due to the fact that the degree of the numerator is not less than the degree of the denominator, we will perform polynomial long division to get;

(7x² + 14)/(x² + 3) = 7 + (-7/(x² + 3))

Now, the second term (-7/(x² + 3)) cannot be decomposed further and as such, we say that our final decomposition of the given partial fraction is;

7 + (-7/(x² + 3))

Read more about partial fractions at; https://brainly.com/question/24236946

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