You call an expression with a single term a monomial, an expression with two terms is a binomial, and an expression with three terms is a trinomial. An expression with more than three terms is named simply by its number of terms. For example a polynomial with five terms is called a five-term polynomial.

A monomial is an expression in algebra that contains one term, like 3xy. Monomials include numbers, whole numbers and variables that are multiplied together, and variables that are multiplied together. A polynomial is a sum of monomials where each monomial is called a term.

monomial—A polynomial with exactly one term. binomial— A polynomial with exactly two terms. trinomial—A polynomial with exactly three terms.

Yes, x2 is a monomial.

2x yz D. 2 + xyz. 2xyz2 is a monomial.

(i) polynomial , because the exponent of the variable of 8 or 8×0 is 0 which is a whole number . (viii) Not polynomial , because the exponent of the variable of 12xor12x-1 is -1 which is not a whole number.

Answer: Since, variable, ‘t’ in this expression exponent of variable is not a whole number. Expression with exponent of a variable in fraction is not considered as a polynomial.] (iv) y+2y. Answer: Since, exponent of the variable is negative integer, and not a whole number, hence it cannot be considered a polynomial.

As the name suggests, Polynomial is a repetitive addition of a monomial or a binomial. The general Polynomial Formula is written as, ax^{n} + bx^{n-1} + ….. + rx + s. If n is a natural number, an – bn = (a – b)(an-1 + an-2b+…+ bn-2a + bn-1)

Examples of Polynomials

Example Polynomial	Explanation
5x +1	Since all of the variables have integer exponents that are positive this is a polynomial.
(x7 + 2×4 – 5) * 3x	Since all of the variables have integer exponents that are positive this is a polynomial.
5x-2 +1	Not a polynomial because a term has a negative exponent

Polynomials are algebraic expressions that consist of variables and coefficients. An example of a polynomial with one variable is x2+x-12. In this example, there are three terms: x2, x and -12.

Therefore, x−x3 is cubic polynomial.

Like any constant value, the value 0 can be considered as a (constant) polynomial, called the zero polynomial. It has no nonzero terms, and so, strictly speaking, it has no degree either.

No, x+1x=1 is not a polynomial.

In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.

Explanation: To find the degree of the polynomial, add up the exponents of each term and select the highest sum. The degree is therefore 6.

Answer. Answer: Polynomial is being categorized according to the number of terms and the degree present. Based on the value, one term is called as monomial (when n = 1), two-degree polynomial (when n = 2) and three-degree polynomial (when n = 3).

Example: The polynomial is classified by the number of terms as:

1. Monomial – One term – 3x.
2. Binomial – Two Term – 7a-5.
3. Trinomial – Three Term –

Polynomials are classified according to their number of terms. 4×3 +3y + 3×2 has three terms, -12zy has 1 term, and 15 – x2 has two terms. As already mentioned, a polynomial with 1 term is a monomial. A polynomial with two terms is a binomial, and a polynomial with three terms is a trinomial.

Third degree polynomials are also known as cubic polynomials. Cubics have these characteristics: Four points or pieces of information are required to define a cubic polynomial function. …

Names of Degrees

Degree	Name	Example
2	Quadratic	x2−x+2
3	Cubic	x3−x2+5
4	Quartic	6×4−x3+x−2
5	Quintic	x5−3×3+x2+8

3 possible

A binomial expression has two terms. For example, 4x + 5, The degree of any polynomial refers to the term with the highest exponent on its variable. Therefore, it is called binomial and since the highest exponent with variable x is 3, therefore it is third degree binomial with constant term of 8.

Thus, a third degree binomial with a constant term of 8 – + 8 is equal to 8.

3x² is a monomial of the 2nd degree with a leading coefficient of 3.

The answer is three degree.

Thus, the degree of the polynomial is 3.

T-4 by T is a polynomial.

Explanation: When a polynomial has more than one variable, we need to find the degree by adding the exponents of each variable in each term. has a degree of 4 (since both exponents add up to 4), so the polynomial has a degree of 4 as this term has the highest degree.

zero

A monomial is an expression in algebra that contains one term, like 3xy. Any number all by itself is a monomial, like 5 or 2,700. A monomial can also be a variable, like “b” or “y.” It can also be a combination of these, like 98b or xy.

Number of terms. A monomial has just one term. For example, 4×2 . Remember that a term contains both the variable(s) and its coefficient (the number in front of it.)

Polynomials are algebraic expressions that may comprise of exponents which are added, subtracted or multiplied. Polynomials are of different types. Namely, Monomial, Binomial, and Trinomial. A monomial is a polynomial with one term. A binomial is a polynomial with two, unlike terms.

All the exponents in the algebraic expression must be non-negative integers in order for the algebraic expression to be a polynomial. As a general rule of thumb if an algebraic expression has a radical in it then it isn’t a polynomial.

one

10a^-3 is a polynomial.

Third degree polynomials are also known as cubic polynomials. Cubics have these characteristics: Four points or pieces of information are required to define a cubic polynomial function.

quadrinomial

A binomial is a polynomial with 2 terms. A trinomial is a polynomial with 3 terms.

Number of terms.

1. A monomial has just one term. For example, 4×2 .
2. A binomial has two terms. For example: 5×2 -4x.
3. A trinomial has three terms. For example: 3y2+5y-2.
4. Any polynomial with four or more terms is just called a polynomial. For example: 2y5+ 7y3- 5y2+9y-2.