Simplify Rational Expressions
Presentation
•
Mathematics
•
9th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
10 Slides • 8 Questions
1
How do I simplify (or reduce) rational expressions?
2
A rational expression is the quotient of two polynomials.
3
Step 1: Factor the numerator completely (top number)
Step 2: Factor the denominator completely (bottom number)
Step 3: Cross out (cancel) common factors.
Some text here about the topic of discussion
4
How do we solve this problem?
Combine Like Terms
This Step is not necessary for this problem.
Factor polynomials
Cancel out Common Factors
We can cancel out the twos and the y's leaving us with the answer.
5
6
How do we solve this problem?
Combine Like Terms
Not necessary for this problem
Factor out polynomials
Cancel Out Common Factors
We can cancel out (x-2), you will then have the correct answer
7
How do we solve this problem?
Combine Like Terms
This is not necessary for this problem
Factor Polynomials
Cancel out Common Factors
We can cancel out (n+5), giving us the correct answer.
8
9
First, we will review how to simplify rational expressions by factoring, then you will be assessed on this material!
10
WATCH THIS!
11
Multiple Choice
What are the excluded values for
(x+2)(x+1)(x+3)x=2, x=1
x = −2, x = −1
x=−2, x=−1, x=−3
x=2, x=1, x=3
12
Multiple Choice
What expression is equivalent to (x−5)(x−4)(x−5)
x−41
x−4
−9x−41
−9x−4
13
Multiple Choice
What is the simplest form of x2−16x2+5x−36
x+4x+9
49
x−4x+9
−49
14
Multiple Choice
Which expression is equivalent to 30x(x+3)(x+5)12x4(x−3)(x+5)
−52x3
−18x3
18(x+3)x3(x−3)
5(x+3)2x3(x−3)
15
Multiple Choice
Simplify the Expression
16
Multiple Choice
Simplify the Expression
17
Multiple Choice
Simplify
(x−1)(2x−2x2)
−2x
2x−1
2x
2x1
18
Multiple Choice
Simplify
A.(x+7)/(x+4)
B.3/4
C.(x+3)/(x+4)
D.(x+3)/(x-4)
How do I simplify (or reduce) rational expressions?
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