1. Roseleen Syron, Alexa Sikoryak, Habin Choi, Jennie Park

2.  used with rational functions -r(X)=p(X)/q(X) -degree of p(X) < degree of q(X)  A linear gets A during distribution  A non linear gets Ax+B during distribution

3.  Linear, non repeating _____________ = A + B + C (x-a)(x-b)(x-c) (x-a) (x-b) (x-c)  Linear, repeating __________ = A + B + C (x-a) 2 (x-b) (x-a) (x-a) 2 (x-b)

4.  Non linear, non repeating _______________ = A + Bx+C (x-a)(bx 2 +cx+d) (x-a) (bx 2 +cx+d)  Non linear, repeating ________________ = (x-a)(bx 2 +cx+d) 2 A + Bx+C + Dx+E (x-a) (bx 2 +cx+d) (bx 2 +cx+d) 2

5.  Factor denominator completely  Separate each factor as its own denominator  Determine whether each is linear or nonlinear  The ones that are liner (non-repeating) get a single letter in the numerator.  The ones that are non linear get two letters, one having a variable attached  Solve for the numerator

6. https://www.youtube.com/watch?v=pZ9Ff Gy3Cfw

7. Examples : Linear, repeat  3x 2 -2x+8 x 3 -x 2 +2x-2

8. Examples : X Linear, X repeat  3x x 3 +3 3

9.  3 + -2 x-1 x 2 + 2  -1 + x+3 x+3 x 2 + 3x+9

10.  Thank You