the coefficients of a partial fraction decomposition
Source:
November 16, 2009
algebrapolynomialfunction
Problem Statement
If , , , , and are constants such that every satisfies
\frac{5x^4 \minus{} 8x^3 \plus{} 2x^2 \plus{} 4x \plus{} 7}{(x \plus{} 2)^4}
\equal{} a \plus{} \frac{b}{x \plus{} 2} \plus{} \frac{c}{(x \plus{} 2)^2}
\plus{} \frac{d}{(x \plus{} 2)^3} \plus{} \frac{e}{(x \plus{} 2)^4} \, ,
then what is the value of a \plus{} b \plus{} c \plus{} d \plus{} e?