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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.
Strictly 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.
What is the classification of terms according to number and degree?
the degree of polynomial is determined by the highest exponent its variable has.
What are the kind of polynomial according to the number of terms?
monomial,binomial, trinomial, quadrinomial and quintinomial
What are the different classification of algebraic expression according to the number of term?
classifacation of algebraic expression according to the number of terms
Is 13 a polynomial If it is find its degree and classify it by the number of its terms?
13 is not a polynomial.
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 classification of polynomials according to the number of terms?
A very poor and not particulary useful form of classification. According to that system, x + 3 and x4 + 7 would belong to the same class!
How do you find the number of terms in a polynomial?
count # of +/- signs, add one
Classify the polynomial by its degree and by the number of terms.5m?
linear monomial
What is the name for a polynomial with 5 terms?
Quintinomial, is a polynomial with 5 terms
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 the polynomial having two terms?
A polynomial with two terms is called a binomial.
Are polynomial and mononomial the same?
No. A monomial (watch the spelling, please - only one "no") is a special case of a polynomial. A polynomial may have any number of terms; a monomial has exactly one term.
