Math Questions With Answers (12)

More Math questions on decomposing into partial fractions are presented. Answers to these questions are located at the lower part of the page.

Questions 1:

Decompose into partial fractions : (5x + 10) / x(x + 5)

Questions 2:

Decompose into partial fractions : (8x + 14) / (x + 1)(x + 5)

Questions 3:

Decompose into partial fractions : (5x2 + 12x + 3) / x(x + 1)2

Questions 4:

Decompose into partial fractions : (3x + 15) / (x + 4)2

Questions 5:

Decompose into partial fractions : (7x + 10) / (x + 1)(x2 - 4)

Questions 6:

Decompose into partial fractions : (5x2 + 31x + 46) / (x + 2)(x + 3)2

Questions 7:

Decompose into partial fractions : (2x2 + 6x - 2) / (x3 - 1)

ANSWERS TO ABOVE QUESTIONS
1) 2/x + 3/(x + 5)
2) 3/(2(x + 1)) + 13/(2(x + 5))
3) 3/x + 2/(x + 1) + 4/(x + 1)2
4) 3/(x + 4) + 3/(x + 4)2
5) 2/(x - 2) - 1/(x + 2) - 1/(x + 1)
6) 4/(x + 2) + 1/(x + 3) + 2/(x + 3)2
7) 2/(x - 1) + 4/(x2 + x + 1)

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