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Investigating Monomials (pp. 1 of 4)

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Factoring (<strong>pp</strong>. 2 <strong>of</strong> 4)<br />

Algebra 2<br />

HS Mathematics<br />

Unit: 06 Lesson: 01<br />

Two Terms (continued)<br />

2.<br />

3 3<br />

2<br />

2<br />

Difference <strong>of</strong> Cubes: a b ( a b)(<br />

a ab b )<br />

Example:<br />

GCF =<br />

Factors:<br />

3<br />

x <br />

y<br />

3<br />

3.<br />

3 3<br />

2<br />

2<br />

Sum <strong>of</strong> Cubes: a b ( a b)(<br />

a ab b )<br />

3<br />

Example: 16m 2p<br />

GCF =<br />

Factors:<br />

3<br />

B) Three Terms<br />

1. Leading Coefficient <strong>of</strong> 1<br />

2<br />

Example: x 4x 12<br />

Example: 2x<br />

2 10x<br />

12<br />

GCF = GCF =<br />

Factors:<br />

Factors:<br />

2. Leading Coefficient other than 1<br />

Example: 6x<br />

2 7x<br />

5<br />

Various Methods<br />

<br />

Guess and check<br />

GCF =<br />

Factors:<br />

<br />

Box method<br />

©2010, TESCCC 08/01/10 page 40 <strong>of</strong> 61

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