Investigating Monomials (pp. 1 of 4)
Investigating Monomials (pp. 1 of 4)
Investigating Monomials (pp. 1 of 4)
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Factoring (<strong>pp</strong>. 4 <strong>of</strong> 4)<br />
Algebra 2<br />
HS Mathematics<br />
Unit: 06 Lesson: 01<br />
C) Four Terms<br />
Grouping<br />
Example: 12xy + 2x + 30y + 5 Example: 6ab + 2a + 15b + 5<br />
___ ( ___ + ___ ) + ___ ( ___ + ___ )<br />
( ___ + ___ )( ___ + ___ )<br />
Practice Problems<br />
Factor the following polynomials.<br />
1)<br />
2<br />
2<br />
14x y 4xy<br />
2xy<br />
2) 4x<br />
2 9<br />
3)<br />
3 2<br />
2a 2ab<br />
4) x<br />
3 27<br />
5) 64x 3 1<br />
6) x 3 y + 8y<br />
7)<br />
2<br />
x 14x 49<br />
8) 2x<br />
2 6x<br />
56<br />
9)<br />
2<br />
y 3y<br />
54<br />
10) 4y<br />
2 11y<br />
3<br />
11) 5a 2 22a<br />
8<br />
12) 36x<br />
2 6x<br />
20<br />
13) 6x 2 9x<br />
81<br />
14) ab 9a<br />
9b<br />
81<br />
15) 4xy<br />
8x<br />
7y<br />
14<br />
16) The area <strong>of</strong> a right triangle is represented by the expression 6x 2 + 5x – 4. If the height <strong>of</strong> the<br />
triangle is represented by the expression 3x + 4, find an expression to represent the base.<br />
©2010, TESCCC 08/01/10 page 42 <strong>of</strong> 61
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