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.
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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!
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