Find constants k, c so (7x+17)/(x^2+4x+3)=k/(x+3)+c/(x+1)

[Hannah]

I really need help with this problem. I'd appreciate it if somebody would be kind enough of solve it and show me how they did it. Thanks!

Find the constants of k and c so that:

(7x + 17)/(x^2 + 4x + 3) = k/(x + 3) + c/(x + 1)

Sorry about the weird formatting -- I couldn't figure out how to write it any other way. Anyway. good luck!
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Edited by stapel --- Reason for edit: Formatting

[stapel_eliz]

Sorry about the weird formatting....

To learn how to format math as text, please review this formatting article. Thank you!

Find the constants of k and c so that:

(7x + 17)/(x^2 + 4x + 3) = k/(x + 3) + c/(x + 1)

Convert the fractions on the right-hand side to the common denominator of (x + 3)(x + 1) = x² + 4x + 3. Then combine the two fractions. You should end up with:

. . . . .

By equating coefficients, you can then set up a system of equations:

. . . . .

Solve the system for the values of "k" and "c".