Let P(x) be a polynomial of degree less than 4. Using constantsA, B, C, D, E, ·.., which of the following is the correct partial fractiondecomposition of the function?P(x)(x²–9)(x²+16)f(æ) =

Answered: Image /qna-images/answer/bce420ca-a03c-408e-bc60-a15bbeb5a755.jpg

Answered: Let P(x) be a polynomial of degree less…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Systems Of Equations And Inequalities

Section5.3: Partial Fractions

Problem 2E

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Similar questions

Match the rational expression on the left with the correct partial fraction decomposition form on the right. x2-2x+3x2x-4x2+5 a. Ax+Bx2+Cx3+Dx4+Ex-4+Fx+Gx2+5 b. Ax+Bx-4+Cx-42+Dx-43+Fx+Gx2+5+Hx+Ix2+52 c. Ax+Bx2+Cx-4+Dx2+Ex+Fx3+5 d. Ax+Bx2+Cx3+Dx-4+Ex-42+Fx+Gx2+5 e. Ax+Bx-4+Cx+Dx2+5 f. Ax+Bx2+Cx-4+Dx+Ex2+5
Consider the following rational functions: r(x)=x2x22x1 s(x)=x2+4x3+27 t(x)=x+2x39x u(x)=x225x2+x6 w(x)=x+3x3+6x+9x (a) Which of these rational functions has a horizontal asymptote? (b) Which of these functions has a slant asymptote? (c) Which Of these functions has no vertical asymptote? (d) Which Of these functions has a "hole"? (e) What are the asymptotes of the function r(x) ? (f) Graph y =u(x) , showing clearly any asymptote and x- and y intercepts the function may have. (g) Use long division to find a polynomial P that has the same end behavior as t. graph both P and t on the same screen to verify that they have the sane end behavior.
Given the partial decomposition of the rational function f(x), find A, B and C. f(x)=(-x^(2)-12x-26)/((x+2)(x+3)(x+4))=(A)/(x+2)+(B)/(x+3)+(C)/(x+4)

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Let P(x) be a polynomial of degree less than 4. Using constants A, B, C, D, E, ·. ., which of the following is the correct partial fraction decomposition of the function? P(x) (x²–9)(x²+16) f(æ) =