24 - Div-PF2

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

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

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

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

View Full Document
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
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

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

View Full Document

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

View Full Document
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
Ask a homework question - tutors are online