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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.
What else can I help you with?
What is the sum of two monomials?
HAAA
Who invented monomials?
A monomial is a product of positive integer powers of a fixed set of variables. Monomials were invented by Austrian mathematician Bruno Buchberger.
What career uses dividing monomials?
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.
What is the definition of monomials?
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!
Can monomials have negative exponents?
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!
What is the relationship between monomials binomials and trinomials?
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.
What is the sum of 3 monomials?
A trinomial is the sum of three monomials, any more than that does not have a special name
What is the sum of monomials?
HAAA
What is the sum of two monomials?
HAAA
A monomial or sum of monomials?
Quadratic polynomial
Any polynomial is just a sum of monomials?
True
What is the monomial or sum of monomials or terms called?
a monomial
What is the sum of two unlike monomials?
The sum of two unlike monomials involves combining them by simply writing them next to each other, as they cannot be combined algebraically. Unlike monomials have different variables or powers, so they retain their individual identities in the sum. For example, the sum of (3x^2) and (4y) is expressed as (3x^2 + 4y).
A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials?
sum of the monomials APEX =)
A word that means a monomial or a sum or difference of monomials?
A polynomial
What is a monomial or sum of monomials?
a single polynomial it only has one variable
What does polynomials mean in mathematical terms?
It means the sum of several monomials.
