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(a) (b) X x²+x=2 A x + 2 + +² x² + x + 3 Ax + B X B x - - 1 + CX+ D x+1 + E 3 x

(a) (b) X x²+x=2 A x + 2 + +² x² + x + 3 Ax + B X B x - - 1 + CX+ D x+1 + E 3 x

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter0: Are You Ready For This Course?
Section0.B: Diagnostic Test: Algebraic Expressions
Problem 1DT
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I believe this is done with integration through partial fractions with an irreducible quadratic, but I can't get it to fit in the formula.

(a) (b) X + X-2 A x + 2 + x² x² + x + 3 Ax + B X + B - 1 CX+ D x + 1 + E Cot X
Transcribed Image Text:(a) (b) X + X-2 A x + 2 + x² x² + x + 3 Ax + B X + B - 1 CX+ D x + 1 + E Cot X
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Solution B was still wrong. I also don't fully understand how you got to 

A + (Bx+C) / (x^2+x+3).

I belive you do long division to have the numerator be less then the denominator which gives you 1 - (x+3)/(x^2+x+3) but at this point I'm unsure of how to put it in the formula.

I belive you do something similar which is how you got A, but shouldn't that be

A - ( (Bx+C) / (x^2+x+3).

0r would it be something else?

Write out the form of the partial fraction decomposition of the function (see example). Do not determine the numerical values of the coefficients. (a) (b) X x²+x=2 A + x + 2 +² x² + x + 3 A + B x-1 Bx + C 2 x² + x + 3 Enhanced Feedback Please try again. Remember to divide, if necessary, so that the degree of the numerator is less than the degree of the denominator. Factor the denominator (if possible) and write a separate fraction for each factor. Let the denominators be the factors, and let the numerators be polynomials with degree one less than the factors in the denominators and with variable coefficients.
Transcribed Image Text:Write out the form of the partial fraction decomposition of the function (see example). Do not determine the numerical values of the coefficients. (a) (b) X x²+x=2 A + x + 2 +² x² + x + 3 A + B x-1 Bx + C 2 x² + x + 3 Enhanced Feedback Please try again. Remember to divide, if necessary, so that the degree of the numerator is less than the degree of the denominator. Factor the denominator (if possible) and write a separate fraction for each factor. Let the denominators be the factors, and let the numerators be polynomials with degree one less than the factors in the denominators and with variable coefficients.
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