Terms
Algebra Help: Section 1.3
Learn elementary algebra terms including positive terms, negative terms, similar terms, dissimilar terms, mononomial, binomial, polynomial, residual, trinomial, degree, and homogenous quantity.
Terms
-
The Terms
of an algebraic quantity are the divisions made by the signs,
+ and -;
thus, in the quantity
3a +b2 - mx, there are three terms, of which3ais the first,b2is the second, andmxis the third. -
Positive Terms
are those which have the plus sign;
as,
+a or +b2d. The first term of an algebraic quantity, if written without any sign, is positive, the sign + being understood. -
Negative Terms are those which have the minus
sign; as,
-2a,or -3c2d. The sign of a negative quantity is never omitted. -
Similar Terms are terms containing the same letters, affected with the same exponents;
the signs and coefficients may differ, and the terms still be similar.
Thus,
3a2and5a2are similar terms;2b2dand-5b2dare similar terms. -
Dissimilar Terms are those which have different
letters or exponents; thus,
abcandacdare dissimilar terms;ax2y2anda2xyare dissimilar terms. -
A Mononomial is an algebraic quantity
consisting of only one term; as,
4a,3cd, or7b2x -
A Polynomial is an algebraic quantity consisting
of more than one term;
a + b; or3ab - 2x + c. -
A Binomial is a polynomial of two terms;
a + c, or2x - y. -
A Residual is a binomial, the two terms
are connected by the minus sign; as,
a - bor3x - 2y. -
A Trinomial is a polynomial of three terms;
as
x + y + zor3a - 2b + c2. -
The Degree of a term is the number of literal factors
it contains, and is found by adding the exponents of the several letters; thus,
aand3bare terms of the first degree;a2and2abare terms of the second degree;a3,3a2b, and5abcare terms of the third degree. -
A Homogenous Quantity is one whose terms are all of the
same degree; as,
x3 - 3x2 + xyz.
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Help with Algebra Homework
Free tutorials provide math help for math problems. Tutorials start with algebra 1. Algebra tutorials include word problems related to algebra topics, as they're introduced. See the menu, above for algebra math equations, and explanation, by section.
Windows algebra games, designed to help with classwork, coming soon!
Windows games, in progress, work with this set of free tutorials, modified
from the public domain text book titled,
New Elementary Algebra
containing the rudiments of the science for schools and academies.
By Horation N Robinison, LL. D. Ivison, Blakeman & Company, Publishers, New York and Chicago.
