Thread: Please check my answers- Partial Fractions

Write the partial fraction decomposition of the rational expression.

3. (9x^2-x-14)/(x^3-x)

I got: (14)/(x) +(-2)/(x+1) + (-3)/(x-1)


Write the partial fraction decomposition of the rational expression.

11. (6x+5)/((x-9)^2)

I got: (6)/(x-9) + (59)/(x-9)^2


13. (5x^2-5x+7)/((x-1)^3)
I got: (5)/(x-1) - (5)/(x-1)^2 + (7)/(x-1)^2

15. (x+4)/(x^3-2x^2+x)
I got: (4)/(x) + (5)/(x-1) + (-4)/(x-1)^2

Write the partial fraction decomposition of the rational expression.

17. (12x+3)/ (x^3-1)
I got: (-5)/(x-1) + (5x+2)/(x^2+x+1)

(12x^2 -12x+6)/(x-3)(x^2+4)
I got: (6)/(x-3) + (6x+6)/(x^2+4)

Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants.

26. (7x-3)/((x^2+x-7)^2)

I got: (ax+b)/(x^2+x-7) + (cx+d)/((x^2+x+7)^2)

29. (2x+1)/(x-6)((x^2+x-4)^2)

I got: (a)/(x-6) + (bx+c)/(x^2+x-4)

Write the partial fraction decomposition of the rational expression.


31. (x^2+4x-1)/((x^2+3)^2)
I got: (1)/(x^2-3) + (4x-4)/(x^2+3)^2

33. (4x^3+ 4x^2)/((x^2+5)^2))
I got: (4x+4)/(x^2+5) + (-20x-20)/((x^2+5)^2))

Hello, soly_sol!

Write the partial fraction decomposition of the rational expression.



I got: . . . . . Right!

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~



I got: . . . . . Yes!

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~




I got: . . . . . no

It should be: .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~




I got: . . . . . no

It should be: .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~




I got: . . . . . no

It should be: .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~


You can check your answers yourself.
Just combine the fractions in your answer.
. . You should get the original fraction.

In #13, they gave us: .

You came up with: .


Let's check it . . . get a common denominator and combine.



. . .

. . . ??

This is not the original fraction . . . The solution is wrong.


See how it works?