What is a rational expression?

August 26, 2014
Rational Expressions Day #2
Objective: To multiply and divide rational expressions
What is a rational expression?
A rational expression is the quotient of two polynomials.
*Always go to the simplified form on any expression
*Rational
fraction- lowest terms
factor as far as you can
Multiply and state all variable
restrictions:
1) 2x3y
3xy2
4
y
2x
5
August 26, 2014
Simplify:
2)
3(x + 2)
x3
x(x - 4)
(x + 2)
Simplify:
3)
3x2 - 3x
x2 + 4x - 5
x2 + x -20
3x
August 26, 2014
Simplify:
4) x2 + 5x - 36
x2 - 11x + 28
x2 - 49
5) 8x2y2z
xz4
÷
2xy4
3z5
(multiply by the reciprocal)
August 26, 2014
Simplify:
6) x2 - 4x - 21
÷
x2 + 3x - 70
5x + 15
x2 - 100
Simplify:
7)
3x2 + 13x - 10
6x2
1
x(3x - 2)
August 26, 2014
Simplify:
8)
3x + 13x + 4
4x + 16
8
x2 - 4
x+2
x+1
2
Simplify:
9)
2
10x - x - 24
3x
2
2x - 5x - 12
5x 2 - 8x
August 26, 2014
Simplify:
10)
x2+ x - 6
2
6x - 2x
2
5x - 7x - 6
2
12x - x - 1
10x + 6
x+3
Assignment:
Assignment: Wksht #2
Worksheet #2
August 26, 2014