Name:________________________________________Peiod:______________Date:_________
Advanced Algebra and Trigonometry - Section P6 Day 0 – Notes
 Objective: To Simplify Rational Expressions
Do Now: Evaluate. Remember that Division by Zero is Undefined.
a)
b)
c)
d)
4
for
x2
x
x5
x 1
for
x 1
2
7
x2
for
x
x  36
2
x  5
for
x6
To Find the Restrictions on the Domain:
 Factor the denominator &
 Set the denominator equal to 0 and solve.
Simplifying Rational Expressions
 Factor numerator & denominator
 Divide out common factors
Simplify and state restrictions on the domain.
1)
5 x( x  1)
2( x  1)
2 z ( z 2  2 z  8)
3)
( z  1)( z  2)
2)
4 y ( y  3)
y ( y  3)
4)
( y  3)( y  7)
( y  7)( y 2  9)
5)
7)
9)
11)
x3  x 2
x 1
x2  6x  5
x 2  25
xz  4 z
4 z 2  xz 2
2b  4b 2
4b3  2b 2
x 2  5 x  14
13) 2
x  3 x  28
6)
8)
x3  3x 2
x3
x2  1
x2  2x  1
10)
x 2  25
(5  x)(5  x)
12)
p2  2 p  3
p 2  2 p  15
14)
x2  9
x 2  6 x  27