24 - Div-PF2 - decomposition of 3 x 3 5 x 2 x 2-2 x 4 . Ex....

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Division/Partial Fractions Division: When the degree of the numerator is greater than or equal to the degree of the denominator, divide. Ex. x 3 x 2 6 x 2 1 ± dx Do: Evaluate 3 x 4 x - 2 ± dx
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Partial Fractions Case 1: Suppose a rational expression R ( x ) Q ( x ) has a denominator that can be rewritten as a product of distinct linear factors. R ( x ) Q ( x ) R ( x ) a 1 x + b 1 a 2 x + b 2 ... a n x + b n Then we can rewrite the expression as a sum. R ( x ) Q ( x ) A 1 a 1 x + b 1 + A 2 a 2 x + b 2 + ... + A n a n x + b n Ex. - 2 x - 6 x 2 - 2 x - 3 ± dx
Background image of page 2
Ex. Determine the coefficient on the 1 x 2 term in the partial fraction decomposition of - x - 4 x 2 - 2 x - 8 . Ex. Determine the coefficient on the x term in the partial fraction
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 6
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: decomposition of 3 x 3 5 x 2 x 2-2 x 4 . Ex. Determine the coefficient on the 1 x 3 term in the partial fraction decomposition of 3-2 x 2 x 2 x-12 . Do: Evaluate 5 2 x 2-3 x-2 . Case 2: Suppose Q(x) is a product of linear factors, some of which are repeated. R ( x ) Q ( x ) R ( x ) ax + b r A 1 ax + b + A 2 ax + b 2 + ... + A r ax + b r Ex. x + 2 x x + 1 3 ± dx Ex. 1 x 2 2 x-1 3 ± dx...
View Full Document

This note was uploaded on 10/16/2009 for the course MATH 1206 taught by Professor Llhanks during the Spring '08 term at Virginia Tech.

Page1 / 6

24 - Div-PF2 - decomposition of 3 x 3 5 x 2 x 2-2 x 4 . Ex....

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online