Thread: Partial Fractions- Please check my answers

Please check my answers.

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

(7x+5)/(x-2)(x+5)
I got: (a)/(x-2) + (b)/(x+5)

(4x-4)/(x^2+8x+12)
I got: (a)/(x+6) + (b)/(x+2)

Write the partial fraction decomposition of the rational expression.

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

(x)/(x-5)(x-6)
I got: (-5)/(x-5) + (6)/(x-6)

(x)/(x^2-5x+6)
I got: (-2)/(x-2) + (3)/(x-3)

(11x-35)/(x-1)(x-4)
I got: (8)/(x-1)+ (3)/(x-4)

(12x+52)/(x^2+10x+24)
I got: (2)/(x+4) + (10)/(x+6)

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

(6x-5)/(x+5)^2
I got: (a)/(x+5) + (b)/(x+5)^2

(4x+2)/(x+3)(x^2+x-3)
I got: (a)/(x+3) + (b)/(x^2+x-3)

...

Originally Posted by soly_sol

Write the partial fraction decomposition of the rational expression.


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

the second must be -3

Originally Posted by soly_sol

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

....

(4x+2)/(x+3)(x^2+x-3)
I got: (a)/(x+3) + (b)/(x^2+x-3)

it should be bx+c

Hello, soly_sol!

Write the form of the partial fraction decomposition of the rational expression.

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Write the partial fraction decomposition of the rational expression.

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

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For a quadratic denominator, we need two terms in the numerator.

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