Monomials, binomials, trinomials, polynomials
A monomial is an algebraic expression with only one term (one type of term)
Examples: 13 or 3x or x² or 4y²
A binomial is the sum of two monomials. It has two unlike terms.
(bi implies two)
3x + 1, x² - 4x, 2x + y, or y - y²
A trinomial is the sum of three monomials. It has three unlike terms. (tri implies three)
x2 + 2x + 1 or 3x² - 4x + 10 or 2x + 3y + 2
A polynomial is the sum of one or more terms. (poly implies many)
x2 + 2x or 3x3 + x² + 5x + 6 or 4x - 6y + 8
NOTE:
Polynomials are in simplest form when they contain no like terms.
x2 + 2x + 1 + 3x² - 4x when simplified becomes 4x2 - 2x + 1
Polynomials are generally written in descending order.
Descending: 4x2 - 2x + 1 exponents of variables decrease from left to right
Examples: 13 or 3x or x² or 4y²
A binomial is the sum of two monomials. It has two unlike terms.
(bi implies two)
3x + 1, x² - 4x, 2x + y, or y - y²
A trinomial is the sum of three monomials. It has three unlike terms. (tri implies three)
x2 + 2x + 1 or 3x² - 4x + 10 or 2x + 3y + 2
A polynomial is the sum of one or more terms. (poly implies many)
x2 + 2x or 3x3 + x² + 5x + 6 or 4x - 6y + 8
NOTE:
Polynomials are in simplest form when they contain no like terms.
x2 + 2x + 1 + 3x² - 4x when simplified becomes 4x2 - 2x + 1
Polynomials are generally written in descending order.
Descending: 4x2 - 2x + 1 exponents of variables decrease from left to right
monomials_binomials_trinomials.pdf | |
File Size: | 1285 kb |
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COmbining like terms:
I will post our class notes on Combining Like Terms when I get to school tomorrow. In the meantime you can consult the following website for info you may need to finish your homework: http://www.mathsisfun.com/algebra/like-terms.html
combining_like_terms.pdf | |
File Size: | 1372 kb |
File Type: |