Decompose the terms in the sum as
so there are 20 terms in the sum. Then our sum simplifies to
Now, if
we can reverse the order of terms to get the same sum,
so that doubling up the sum gives
So, our sum evaluates to
The point-slope formula:
We have the points (-4, -1) and (5, 7).
Substitute:
The given polynomial expressed as partial fraction is 5x^3 + 9/x
<h3>Polynomial function and partial fractions</h3>
Polynomial function are function that have a leading degree of 3. Given the expression below;
f(x) = (5x^4+9)/x
Applying partial fraction
Since the part fraction means separating the fraction into two parts, hence;
f(x) = 5x^4/x + 9/x
Simplify
Since there is value of x at both numerator and denominator, it will cancel out to have
f(x) = 5x^3 + 9/x
From the result, we can see that p(x) = 5x^3 and k = 9
Hence the given polynomial expressed as partial fraction is 5x^3 + 9/x
Learn more on polynomial here: brainly.com/question/2833285
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Answer:
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Step-by-step explanation:
