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A single-term algebraic expression is called a monomial. A monomial is the product of real numbers and variables with nonnegative exponents.

How to recognize a monomial?

Examples: -2abc; 3/x; -r^2s; 3/4x; xy^-3

-2abc and -r^2s are monomials

3/x, 3/4x, and xy^-3 are not monomials because each has an unknown variable in the denominator (xy^-3 = x/y^3).

The number in front of the variable, or numerical factor, is called the numerical coefficient of the term, or simply coefficient.

Examples:

2x^2, the coefficient is 2;

x^5, the coefficient is 1;

-3y, the coefficient is -3;

-6a/7, the coefficient is -6/7.

Terms that have the same variable factors are like terms. Monomials with the same like terms can be combined. For example,

2x + 3x = (2 + 3)x = 5x

5x^2y^3 - 2x^2y^3 = (5 - 2)x^2y^3 = 3x^2y^3

But 8xy and x cannot be combined because one monomial has x and y as its variables and the second monomial has only x. Therefore, the monomials are not like terms, and the resulting expression will remain 8xy +y.

Q: Sum of monomials

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A monomial is a product of positive integer powers of a fixed set of variables. Monomials were invented by Austrian mathematician Bruno Buchberger.

This is a tough question. There aren't many jobs that use monomials and polynomials daily but if you want to have a career as a math teacher you have to know this.

A product of variables and numbers. Ex:) 5xIt can only be a product (multiplication). If you have 5 + x, then that would be a binomial because it has two monomials: 5 and x.A monomial is very similar to a term!

Monomials can have negative exponents, if the term for the exponent is not a variable, but if it is a variable with a negative exponent, the whole expression will not be classified. This is so because the definition of a monomial states that, a monomial can be a product of a number and one or more variables with positive integer exponents. I hope that answered your question!

Related questions

A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.

A trinomial is the sum of three monomials, any more than that does not have a special name

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Quadratic polynomial

True

a monomial

sum of the monomials APEX =)

A polynomial

a single polynomial it only has one variable

It means the sum of several monomials.

mono is one term///// adding or subtracting the monomials are just like any addition or subtraction problem... just make sure you are + or - like terms