These are some definitions of polynomials and their terms. In Alberta, you usually learn polynomials in Grade 9.
A polynomial is one term or the sum of two or more terms.
Example:
3x-1 is a polynomial,
1/x is not because 1/x=x
,
and polynomials cannot be to a negative power.
A monomial is a polynomial with only one term.
Example:
5y
is a monomial,
2x + 1 is not a monomial.
2x is, -8/y isn't.
A binomial is a polynomial with two terms.
Example:
2y
-y is, 3x
is not.
1/2 x
-3zy is, 1/a + 1/b is not.
A trinomial is a polynomial with three terms.
Example:
1-2x-4y
is, 2a + 4 is not.
Of or pertaining to the second degree. (Example: x
)
Any distinct quantity in a polynomial.
Example:
x is a term, 2 is not.
The degree of a polynomial in a variable is the highest power of that variable.
Example:
x
has 2 degrees, x has 1 degree,
x
+y
has
5 degrees, and so on.
A coefficient of a term is a number or symbol multiplying a variable or an unknown quantity.
Example:
4x The 4 is the coefficient of the term x.
A constant os a number or symbol that doesn't change.
Example:
2 is a constant,
x is n