Algebra 1
Section 8.2
“Multiplying and Factoring”
NOTES
DISTRIBUTIVE PROPERTY –
Multiplying a Monomial and Trinomial:
a)
− x 3 (9x 4 − 2x 3 + 7)
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b)
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GCF –
Example 1:
a)
Find the GCF of 8, 12, and 36.
b)
Find the GCF of 56 and 49.
5n ( 3n 3 − n 2 + 8)
Finding the Greatest Common Factor:
 Find the largest number that goes into each of the terms
 Choose the variables that all terms have in common and attach the
smallest exponent
Example 2:
x 3 yz 4 , x 4 y 2 z 5 , x10 y10
a)
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c)
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6x 2 y , 15x 3 y 3
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€d)
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40x 4 y 6 z 7 , 64 x 3 y 2 z10 , 96x 5 y 5 z11
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x 4 z 5 , x 5 y 2 z 3 , x10 y 4 z 7 w
b)
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FACTORING POLYNOMIALS
Example 3:
Factor the following:
a)
2x 2 + 4
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6x 3 + 2x 2
d)
5x 4 + 10x −15x 3
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c)
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b)
4 x 4 y −12x 2 y 2
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