Partial Fractions

Question 1

Proper fractions
P(x)/ (ax+b)(cx+d)(ex+f)=

Answer 1

A/(ax+b)+ B/(cx+d) + C/(ex+f)

Question 2

Proper fractions REPEATED LINEAR FACTORS
P(x)/ (ax+b)(cx+d)²

Answer 2

A/(ax+b)+ B/(cx+d) + C/(cx+d)²

Question 3

Proper fractions UNREPEATED Quadratic FACTORS
P(x)/ (ax+b)(cx²+dx+e)

Answer 3

A/(ax+b)+ Bx+C/(cx²+dx+e)

Question 4

Proper fractions REPEATED Quadratic FACTORS
P(x)/(cx²+dx+e)²

Answer 4

Ax+B/(cx²+dx+e) + Cx+D/(cx²+dx+e)²

Question 5

Improper fractions

Answer 5

divide like the fraction says rewrite in form of proper fraction and solve to suit