The correct form of the partial fraction decomposition for the given expression is Option A
What is Partial Fraction Decomposition ?
Partial Fraction Decomposition is the method of simplifying rational expressions.
The expression given is
[tex]\rm \dfrac{ 35-27x} { 4x^2+28x}[/tex]
Applying Partial Decomposition
[tex]\rm \rm \dfrac{ 35-27x} { 4x(x+7)}\\\\\\\dfrac{35}{4x(x+7)} - \dfrac{27x}{4x(x+7)}\\\\\\Taking \;A = 35/ x+7\\\\Taking \; B = -27/4\\\\[/tex]
It can be written as
[tex]\rm \dfrac{A}{4x} + \dfrac{B}{x+7}[/tex]
Therefore Option A is the answer.
To know more about Partial Factor Decomposition
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