Name: _ Date: _ Period: _
12.6 Rational Expressions with Like Denominators
Recall: To add (subtract) fractions with like denominators, add (subtract) the numerators and write the
sum (difference) over the common denominator. Remember to simply.
Examples:
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12.7 Rational Expressions with Unlike Denominators
Recall: To add (subtract) fractions with unlike denominators, you must first find a common
denominator. The common denominator is the least common multiple (LCM) - the smallest n
Name: _ Date: _ Period: _
12.3 Multiplying Rational Expressions
Multiplying Rational Expressions
* Factor the numerator and denominator, if possible.
* Simplify like terms. (top to bottom, or diagonally NOT SIDE TO SIDE)
* Multiply across.
Examples: Multi
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12.4 Dividing Rational Expressions
Dividing rational expressions uses the same method as dividing numerical fractions find the
reciprocal of the second term and multiply.
How do you find a reciprocal? _
Examples: Find each quotie
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12.5 Dividing Polynomials
To divide a polynomial by a monomial, divide each term of the polynomial by the monomial.
Examples: Find each quotient.
1. ( 3r 2 15 r ) 3r
3.
14 a 2b 2 + 35 ab 2 + 2 a 2
7 a 2b 2
2. ( n 2 + 10 n + 12 )
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Algebra 1 Honors: Factoring Review
Number of Terms
2
3
4
Factoring Method(s)
GCF, Difference of Squares
GCF, Factoring trinomial with or without a leading coefficient
GCF, Factor by Grouping
* Remember to always check for a GCF f
Name: _ Date: _ Period: _
Algebra 1 Honors: Factoring Review
Number of Terms
2
3
4
Factoring Method(s)
GCF, Difference of Squares
GCF, Factoring trinomial with or without a leading coefficient
GCF, Factor by Grouping
* Remember to always check for a GCF f
Name: _ Date: _ Period: _
12.2 Rational Expressions
Rational Expression: _
_
Because rational expressions involve division, the denominator may not have a value of zero.
Therefore we must exclude values from the domain which make the denominator equal to