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Date______________
Name ____________________________
ALGEBRA 1
Lesson 9-2 Multiplying and Factoring Polynomials
LEQ:
__________________________________________________________________________
Standard:
M11.D.2.2.1
Add, subtract and/or multiply polynomial expressions.
Warm-Up Exercises
Directions: Use the distributive property of multiplication to simplify each expression.
1.
3 ( 4x - 7 ) = _______________
2.
- 5 ( 2b + 6 ) = _______________
Directions: Multiply each expression. ( remember the rule of exponents when multiplying variables )
3.
2x ( 4x ) = ________
4.
-3b ( 5b4 ) = _______
Vocabulary ( Recall )
Distributive Property of Multiplication – a method used to ______________________ a _________________
to _____________________________ of an polynomial expression.
Key Concept #1
Distributing a Monomial
When multiplying a polynomial by a monomial ( one term polynomial ), we use the ____________________
___________________ of multiplication to simplify the expression.
Examples:
1.
Find the product of each expression.
3x ( 2x + 1 )
2.
= ______________________
3.
-3a ( 4a3 - 2a2 + 5 )
= ______________________
2x2 ( x - 2 )
= ________________________
4.
2d4 ( 8d2 + 5d - 3 )
= ________________________
Vocabulary (Recall)
Factor – is a ______________, can be a _______________________ or a _______________________.
Greatest Common Factor - is the ___________________ that can be __________________ a set of numbers.
Key Concept #2
Factoring a Monomial From a Polynomial
Examples
Directions: Find the GCF for each polynomial expression, then factor each polynomial expression.
5.
4a + 12
GCF:
___________
4a + 12 = ________________________________________________________
6.
3b2 - 9b
GCF: ___________
3b2 - 9b = _________________________________________________________
7.
5c + 35c2
GCF: ____________
5c + 35c2 = ________________________________________________________
8.
11d3 - 33d2
GCF: ___________
11d3 - 33d2 = ________________________________________________________
Assignment: ________________________________________________________
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