- #1
cragar
- 2,552
- 3
Homework Statement
partial fractions
(-x^2+x+3)/((x-2)^2(x+1)) = A/(x-2) + B/((x-2)^2) + C/(x+1)
is my partial fractions set up right
A= -1/9 B = 1/3 C=1/9
cragar said:ok so the setup is right , i will go back through and solve for A again.
i think A=-10/9
Partial fractions are a method used in mathematics to simplify and solve complex fraction expressions. It involves breaking down a single fraction into smaller, simpler fractions.
Setting up partial fractions correctly is important because it ensures that the solution to the original fraction is accurate. Incorrect set up can lead to incorrect solutions and errors in calculations.
To check if your set up for partial fractions is correct, you can perform the reverse process and combine the smaller fractions back into the original fraction. If the fractions cancel out and equal the original fraction, then your set up is correct.
Some common mistakes when setting up partial fractions include not factoring the original denominator completely, incorrectly writing the coefficients of the smaller fractions, and forgetting to include all necessary terms in the set up.
One helpful tip for setting up partial fractions is to make sure all terms in the original fraction are in standard form, with the highest degree of the variable written first. This can make the factoring process easier and reduce the chances of making mistakes.