Investigating Monomials (pp. 1 of 4)
Investigating Monomials (pp. 1 of 4)
Investigating Monomials (pp. 1 of 4)
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<strong>Investigating</strong> Polynomials (<strong>pp</strong>. 1 <strong>of</strong> 3)<br />
Algebra 2<br />
HS Mathematics<br />
Unit: 06 Lesson: 01<br />
Vocabulary<br />
Polynomial – ____________________________________________________<br />
A polynomial can be classified according to how many “terms” it has.<br />
Category Sample Definition<br />
x One term<br />
5 2 3<br />
y<br />
2<br />
4x 2 9x<br />
_________ terms<br />
2x 2 3x<br />
1<br />
_________ terms<br />
4<br />
2<br />
3a b 7bc<br />
6cd<br />
8 _________or _________ terms<br />
Degree <strong>of</strong> a Polynomial – _________________________________________<br />
3a<br />
4<br />
Sample Degree <strong>of</strong> each term Degree <strong>of</strong> Polynomial<br />
x 5 5<br />
5 2 3<br />
y<br />
2<br />
4x 2 9x<br />
2x<br />
2 3x<br />
1<br />
b 7bc<br />
2<br />
6cd<br />
8<br />
Operations To simplify polynomials with addition, subtraction, and multiplication:<br />
Clear grouping symbols using properties <strong>of</strong> algebra (distributive)<br />
Combine like terms using properties <strong>of</strong> algebra (commutative, associative).<br />
Sample Problems<br />
1)<br />
2<br />
2<br />
2<br />
2<br />
( 4x<br />
3xy<br />
5y<br />
) 2(3x<br />
3xy<br />
5y<br />
) 2)<br />
2<br />
2<br />
2<br />
2<br />
(3x<br />
6xy<br />
7y<br />
) ( x<br />
5xy<br />
2y<br />
)<br />
©2010, TESCCC 08/01/10 page 18 <strong>of</strong> 61
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