Simplify Fractions Day 2 Polynomial by monomial.notebook
February 12, 2013
DO NOW
Find the value(s) of x for which each
rational expression is undefined.
Simplify to lowest terms:
-6x3y5
2x5y2
4.
3. 6x3y5
12xy5
Page 544 #3 ­ 10 both parts
3) 1/3; x ≠ 0
4) 3y
4 ; y ≠ 0
8) a 2b ; b ≠ 0 , y ≠ 0
5) 2c
3d ; d ≠ 0
9) 5/9 ; x ≠ 0 , y ≠ 0
10) 1/2 ; a ≠ 0 , b ≠ 0 , c ≠ 0
6) 9/10 ; r ≠ 0
7) a/c ; c ≠ 0 , b ≠ 0 Jan 26­9:24 AM
1
Simplify Fractions Day 2 Polynomial by monomial.notebook
February 12, 2013
Date:
Simplify Algebraic
Fractions:
(polynomial/monomial)
Objective: Simplify fractions with polynomials in the numerator and denominator by factoring both and renaming them to lowest terms.(AA16)
Jan 11­8:38 AM
A fraction in lowest terms have no
common factor other than 1 or -1.
1. Factor numerator and denominator
Put ( ) around polynomials then factor*
2. Simplify: cross out Common Factors = 1
ONLY Vertically or Diagonally
NEVER Horizontally
3. Rewrite fraction in simplest form
*Note: Polynomials are "Families"
You can not break up the family.
Aug 23­9:02 PM
2
Simplify Fractions Day 2 Polynomial by monomial.notebook
Example A
February 12, 2013
x2 + 5x
3x
Simplify to lowest terms:
1. ( ) numerator
Factor
=
2. Simplify
x + 51
3 x(x
5) x(x + 5)
(x2 ++ 5x)
3x
3x
3x
(For what values would the fraction be 1
undefined?)
3. Rewrite
Aug 23­9:02 PM
Example B
Simplify to lowest terms:
7x - 21
7x
7(x---21)
3) =
1. ( ) numerator (7x
7(x
3)
7x
7x
Factor
1 7x
1
2. Simplify
3. Rewrite
x-3
x
(For what values would the fraction be undefined?)
Aug 23­9:02 PM
3
Simplify Fractions Day 2 Polynomial by monomial.notebook
February 12, 2013
Example C
x+5
Simplify to lowest terms: 3x
1. ( ) numerator (x + 5)
3x
Factor
This algebraic fraction
is in simplest form.
(For what values would the fraction be undefined?)
Aug 23­9:02 PM
Simplify to lowest terms:
2)
1)
12a2b
-8ac
5x2
45x2y2
(For what values would the fraction be undefined?)
Aug 23­9:02 PM
4
Simplify Fractions Day 2 Polynomial by monomial.notebook
February 12, 2013
Simplify to lowest terms:
3)
32a - 20
4
(For what values would the fraction be undefined?)
Aug 23­9:02 PM
Simplify to lowest terms:
4)
18x6 + 9x5 -15x4
3x2
(For what values would the fraction be undefined?)
Aug 23­9:02 PM
5
Simplify Fractions Day 2 Polynomial by monomial.notebook
February 12, 2013
Simplify to lowest terms:
5)
8x2 - 12y2
4
(For what values would the fraction be undefined?)
Oct 28­8:10 PM
Simplify to lowest terms:
6)
8b2 - 4b
2b
(For what values would the fraction be undefined?)
Oct 28­8:10 PM
6
Simplify Fractions Day 2 Polynomial by monomial.notebook
February 12, 2013
Simplify to lowest terms:
7)
30n3 - 24n2 + 18n
6n
(For what values would the fraction be undefined?)
Oct 28­8:10 PM
Simplify to lowest terms:
8)
5m + 20
5m
(For what values would the fraction be undefined?)
Oct 28­8:10 PM
7
Simplify Fractions Day 2 Polynomial by monomial.notebook
February 12, 2013
Homework
pg. 544
# 11-14,19-26
Both Parts i.e.
Simplify
Values that make it undefined
Aug 23­9:02 PM
Begin your Homework Questions
Feb 12­7:59 AM
8
Simplify Fractions Day 2 Polynomial by monomial.notebook
February 12, 2013
Feb 12­8:06 AM
9