Basic Equation: 6x – 3 = A(x + Ov ) + (x - Dv ) Expand the equation using the Distributive Property. 6x – 3 = Ax + ( 1 Ja + Bx - (7 Combine the like terms. бх — 3 %3D (А + в)x + 7 A Equate the coefficients of the like terms because two polynomials are equal if and only if the coefficients of the like terms are equal. A + B = 6 Equation 1 |× )B Equation 2 A Solve this system of equations for A and B using the method of elimination. Subtract Equation 1 from Equation 2 and solve for B. 9 B = -9 = B = 8 Back-substitute this value of B in Equation 1 to solve for A. 9 A + 39 = 6 = A = 8.
Basic Equation: 6x – 3 = A(x + Ov ) + (x - Dv ) Expand the equation using the Distributive Property. 6x – 3 = Ax + ( 1 Ja + Bx - (7 Combine the like terms. бх — 3 %3D (А + в)x + 7 A Equate the coefficients of the like terms because two polynomials are equal if and only if the coefficients of the like terms are equal. A + B = 6 Equation 1 |× )B Equation 2 A Solve this system of equations for A and B using the method of elimination. Subtract Equation 1 from Equation 2 and solve for B. 9 B = -9 = B = 8 Back-substitute this value of B in Equation 1 to solve for A. 9 A + 39 = 6 = A = 8.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
Transcribed Image Text:Basic Equation: 6x – 3 = A(x +
Ov ) + (x - Dv )
Expand the equation using the Distributive Property.
6x – 3 = Ax + ( 1
Ja + Bx - (7
Combine the like terms.
бх — 3 %3D (А + в)x +
7
A
Equate the coefficients of the like terms because two polynomials are equal if and only if the coefficients of
the like terms are equal.
A + B = 6
Equation 1
|× )B
Equation 2
A
Solve this system of equations for A and B using the method of elimination. Subtract Equation 1 from
Equation 2 and solve for B.
9
B = -9 = B =
8
Back-substitute this value of B in Equation 1 to solve for A.
9
A +
39
= 6 = A =
8.
Transcribed Image Text:Write the partial fraction decomposition of the improper rational expression.
x3 - 5x2 - 7x – 10
x² - 6x - 7
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