MATH
Partial Fractions.pptx

# Partial Fractions.pptx - Partial Fractions Arthur E and...

• Notes
• 7

This preview shows pages 1–7. Sign up to view the full content.

Partial Fractions Arthur E. and Keon M.

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

Concept Partial fractions are used to split a polynomial fraction into 2 smaller parts. If 2 polynomials are equal, then corresponding coefficients are equal for all values of x. The first step is to split up a complex fraction like (2x-3)/(x-1)(x+1), into it’s respective parts with variables A and B: A/(x-1) + B/(x+1). When a common factor is found and multiplied across these 2 fractions we get A(x+1) + B(x-1) which can be equated with the numerator of the original polynomial, 2x-3. Once in this form, solving for A and B through a system of equations is used to find the numerators of the smaller fractions.
Example #1 1 Factor the denominator and rewrite it as A over one factor and B over the other. 2 Multiply every term you’ve created by the factored denominator and then cancel. 3 11 x + 21 = Ax + 6 A + 2 Bx – 3 B Distribute A and B. 4 11 x + 21 = Ax + 2 Bx + 6 A – 3 B On the right side of the equation only, put all terms with an x together and all terms without it together. 5 11 x + 21 = ( A + 2 B ) x + 6

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

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

This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern