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Sagot :
We have the given equation as [tex]\frac{7x}{(x+6)(3x+2)}[/tex] that we have to convert through partial fraction decomposition.
What is Partial Fraction?
The partial fraction decomposition or partial fraction expansion of a rational fraction in algebra is the process of expressing the fraction as the product of a polynomial (possibly zero) and one or more fractions with a simpler denominator.
A rational fraction is defined as one that has a polynomial as both the numerator and the denominator.
Theory and solution
We have to find the form of the partial fraction decomposition of the function.
The given rational function has two factors in multiplication form in the denominator.
Also, the degree of the numerator is less than the denominator. Hence, the form of partial fraction decomposition of the function is:
[tex]\frac{7x}{(x+6)(3x+2)}[/tex] = [tex]\frac{A}{x+6} + \frac{B}{3x+2}[/tex]
To know more about Partial Fraction Decomposition, visit:
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