India
Class IX
Partial Fraction Decompositions
Interactive practice questions
Consider the fraction $\frac{3}{x\left(x+7\right)}$3x(x+7). Which of the following is a correct partial fraction decomposition?
$\frac{A}{x}+\frac{B}{x+7}+\frac{C}{\left(x+7\right)^2}$Ax+Bx+7+C(x+7)2
A
$\frac{A}{x}+\frac{B}{x+7}$Ax+Bx+7
B
$\frac{A}{x}+\frac{Bx+C}{x+7}$Ax+Bx+Cx+7
C
$\frac{A}{x-7}+\frac{B}{x}$Ax−7+Bx
D
Easy
< 1min
Consider the fraction $\frac{4x+3}{8x\left(x-5\right)\left(x+5\right)}$4x+38x(x−5)(x+5). Which of the following is a correct partial fraction decomposition?
Easy
< 1min
Consider the fraction $\frac{-8x}{\left(x^2+3\right)\left(x-7\right)^2}$−8x(x2+3)(x−7)2. Which of the following is a correct partial fraction decomposition?
Easy
1min
We want to find the partial fraction decomposition for $\frac{6}{x\left(3-x\right)}$6x(3−x).
Easy
4min
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