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Polynomials can be classified based on the number of terms they contain. A polynomial with one term is called a monomial, such as 5x or -2y^2. A polynomial with two terms is called a binomial, like 3x + 2 or 4y - 7. A polynomial with three terms is called a trinomial, for example, 2x^2 + 5x - 3. Polynomials with more than three terms are simply referred to as polynomials.
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SteveStrictly we do not classify polynomials by the number of terms but by the highest power of the variable (its degree).
For example, if x is the variable then a polynomial with highest power...
... x0 (degree 0) is a constant e.g. 4x0 = 4
... x1 (degree 1) is linear e.g. 2x1 + 5 = 2x + 5
... x2 (degree 2) is a quadratic e.g. 3x2 - 2x + 1
... x3 (degree 3) is a cubic e.g. 2x3 - 3x2 - 2x + 1
... x4 (degree 4) is a quartic e.g. 7x4 + 2x3 - 3x2 - 2x + 1
(degree 5) quintic, (degree 6) sextic, (degree 7) septic, (degree 8) octic,...
Although it appears as if the degree of a polynomial is always one less than the number of terms, in general this not the case. For example, x3 - 9 is cubic with only 2 terms or 4x8 is an octic with only one term.
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What is a Definition for algebraic equation?
an equation in the form of a polynomial having a finite number of terms and equated to zeroan equation in the form of a polynomial having a finite number of terms and equated to zero
What is the basic difference between algebraic expression and polynomial?
A polynomial is a type of algebraic expression. They differ in the number of terms that contain variables. An algebraic expression has at least 1 variable, while a polynomial has multiple terms with variables in it.
What is a polynomial with four terms?
First off, it is NOT A QUINTIC! Typically a polynomial of four or more terms is called "a polynomial of n terms", where n is the number of terms. Only the one, two, and three term polynomials are referred to by a particular naming convention.
Is x raised to a negative number a polynomial?
you are so messed up....... a polynomial is just a expression consisting of several terms. like abc or ab or 2a or 5a............so x to a negative number is not a polynomial because x is only one term
How many terms can a polynomial have?
As many as you like. The highest power of the variable in question (usually x) defines the degree of the polynomial. If the degree is n, the polynomial can have n+1 terms. (If there are more then the polynomial can be reduced.) But there is NO LIMIT to the value of n.
