Download presentation

Presentation is loading. Please wait.

Published byDelaney Rands Modified over 2 years ago

1
Partial-Fraction Decompisition Steven Watt, Lyanne Lebaquin, Wilson Tam

2
What is Partial-Fraction Decomposition? Partial-fraction decomposition is the process of starting with the simplified answer and taking it back apart, of “decomposing” the final expression into its initial polynomial fractions.

3
How do You Decompose a Fraction? 3x+2 x 2 +2 Step 1: First, factor the denominator. The denominator in the example above is x 2 +x, which factors as x(x+1) Step 2: Write the fractions with one of the factors for each of the denominators. Since you don’t know what the numerators are yet, assign variables for the unknown values. Step 3: Next set this sum equal to the simplified result

4
How do You Decompose a Fraction? Step 4: Multiply through by the common denominator of x(x+1) to get rid of all the denominators. Which will leave you with: 3x+2=A(x+1)+B(x) Step 5: Multiply things out, and group the x-terms and the constant terms. 3x + 2 = Ax + A1 + Bx 3x + 2 = (A + B)x + (A)1 (3)x + (2)1 = (A + B)x + (A)1

5
How do You Decompose a Fraction? Step 6: For the two sides to be equal, the coefficients of the two polynomials must be equal. So you make the coefficients equal and get: 3 = A + B 2 = A Step 7: So we can tell that: A=2 B=1 Step 8: Plug in the now known values for A and B into

6
Example One 3x+1 x 2 +4x+3

7
Example Two 7x+11 x 2 +2x+2

8
Example Three 8x-42 x 2 +3x-18

9
Example Four 4x 2 (x-1)(x-2)

Similar presentations

OK

College Algebra Fifth Edition James Stewart Lothar Redlin Saleem Watson.

College Algebra Fifth Edition James Stewart Lothar Redlin Saleem Watson.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Well made play ppt on apple Ppt on history of olympics for kids Presentation ppt on motivation and emotion Ppt on new zealand culture images Ppt on components of railway track Ppt on field study 2 Ppt on video teleconferencing certifications Ppt on operating systems Download ppt on area of circle Ppt on coalition government significance