Question 1

Decompose $\frac{5x-7}{(x-1)(2x-1)}$ into partial fractions

Accepted Answer

$\frac{4}{x-2}-\frac{3}{2x-1}$

Answer

$\frac{4}{x-2}+\frac{3}{2x-1}$

Answer

$\frac{2}{x-2}-\frac{3}{2x-1}$

Answer

$\frac{4}{x-2}-\frac{4}{2x-1}$

Question 2

Decompose $\frac{x+7}{x^{2}+3x+2}$ into partial fractions

Accepted Answer

$\frac{6}{x+1}-\frac{5}{x+2}$

Answer

$\frac{6}{x+1}-\frac{2}{x+2}$

Answer

$\frac{1}{x+1}+\frac{5}{x+2}$

Answer

$\frac{3}{x+1}+\frac{5}{x+2}$

Question 3

Decompose $\frac{8}{(x+3)(x-1)^{2}}$ into partial fractions

Accepted Answer

$\frac{1}{2(x+3)}+\frac{2}{x-1}-\frac{1}{2(x-1)^{2}}$

Answer

$\frac{2}{2(x+3)}-\frac{3}{x-1}-\frac{1}{2(x-1)^{2}}$

Answer

$\frac{1}{2(x+3)}+\frac{3}{x-1}-\frac{1}{2(x-1)^{2}}$

Answer

$\frac{1}{2(x+3)}+\frac{1}{x-1}+\frac{1}{2(x-1)^{2}}$

Question 4

Decompose $\frac{3x-1}{x^{2}(x-3)}$ into partial fractions

Accepted Answer

$\frac{1}{3x^{2}}-\frac{8}{9x}+\frac{8}{9(3-x)}$

Answer

$\frac{1}{3x^{2}}+\frac{2}{9x}+\frac{8}{9(x-3)}$

Answer

$\frac{3}{3x^{2}}+\frac{8}{9x}+\frac{8}{9(x-3)}$

Answer

$\frac{1}{3x^{2}}-\frac{8}{9x}-\frac{7}{9(x-3)}$

Question 5

Decompose $\frac{2x^{2}+2x-7}{(x-1)(2+x^{2}}$ into partial fractions

Accepted Answer

$\frac{2x+1}{x^{2}+1}+\frac{1}{x+1}$

Answer

$\frac{3x+1}{x^{2}+1}-\frac{2}{x+1}$

Answer

$\frac{x+2}{x^{2}+1}+\frac{2}{x+1}$

Answer

$\frac{2x+2}{x^{2}+1}-\frac{3}{x+1}$

Related quizzes