PARTIAL FRACTION DECOMPOSITIONNo need to explain, I need solution and correct answer x-4x²+2x-151In|x +51 - In|x - 3| + C8Option 11|(x + 5)⁹In8 x-3dxOption 3None of the above+C9In|x + 5|— In|x - 3| + COption 218Option 4Other:1(x + 5)1x-3+C

We can find the answer as below

Answered: x-4 x²+2x-15 Inx+51-Inx-31+ C 8 Option…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.10: Partial Fractions

Problem 12E

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Match the rational expression on the left with the correct partial fraction decomposition form on the right. 62. x2-2x+3x2x-4x3+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
Can you explain how to verify a partial fraction decomposition graphically?
Find the fourth term of (3a22b)11 without fully expanding the binomial.
Find a polynomial of degree n=2 that has the given zero(s) x = −√2, √2
a) Find all of the critical points of x2 - x - 1 b) Find all of the critical points of x3 - 3x - 2
Obtain the unique solution for x3 + 4x2 - 10 = 0 on the interval [1,2] by Secant Method.
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I am trying to find out if the polynomial 12x^4+8x^3+9x^2+4x+4 is reducible or irreducible over Q. We can't apply Eisenstein's criterion here. But we can try this:12x^4+8x^3+9x^2+4x+4 = x^4+(2/3)x^3+(3/4)x^2+(1/3)x+(1/3) x^4+(2/3)x^3+(3/4)x^2+(1/3)x+(1/3)=(x^2+ax+b)(x^2+cx+d) = x^4+(a+c)x^3+(b+d+ac)x^2+(ad+dc)x+bd We get the equation system: a+c=(2/3)b+d+ac=(3/4)ab+bc=(1/3)bd=(1/3) I get the following result:b=(1/2)d=(2/3)c=(2+sqrt(19))/6 and (2-sqrt(19))/6a=(2/3)-((2+sqrt(19))/6) and (2/3)-((2-sqrt(19))/6) The expression in a contains an irrational number, sqrt(19), this means that the polynomial is irreversible over Q. Is this correct?
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4. If the secant method is used on f(x) = x^5 +x^3 +3 and if x_(n-2) = 0 and x_(n-1) = 1, what is x_n?
What is the coefficient of the term x^3y^2 expansion of (3x - y2)4?
is x^4+1 irreducible in Z_2[x]?

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x-4 x²+2x-15 Inx+51-Inx-31+ C 8 Option 1 S: dx 1 (x + 5)⁹1 Je In + C + x-3 -100 1 9 In|x + 5|ln|x − 3| + C - 31 8 Option 2 0011 In mm | (x + 3) - x-3 + C