Reduction of a proper fraction frac{f(x)}{g(x | vedclass

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Question

(B) proper fraction is defined as a rational expression $\frac{f(x)}{g(x)}$ where the degree of the numerator $f(x)$ is strictly less than the degree

Vedclass · Accepted Answer

$g(x)$ alone

Vedclass · Answer

(B) proper fraction is defined as a rational expression $\frac{f(x)}{g(x)}$ where the degree of the numerator $f(x)$ is strictly less than the degree of the denominator $g(x)$.To decompose this fraction into partial fractions,we must factorize the denominator $g(x)$ into linear or irreducible quadratic factors.The form of the partial fraction decomposition is determined entirely by the nature of the factors of $g(x)$.Therefore,the reduction depends solely on the factorization of $g(x)$.

Reduction of a proper fraction $\frac{f(x)}{g(x)}$ into a sum of partial fractions depends upon the factorization of . . . . . . .

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