They are known as like terms.
That means that you are supposed to add them.Multiplying the same variable raised to different powers is equivalent to adding the exponents. For example, 10^5 x 10^3 = 10^(5+3) = 10^8. (Using "^" for powers.)
Polynomial
A polynomial term is a product of a number and one or more variables raised to various powers. The powers must be non-negative integers.
They are like terms.
If you divide two common bases, you can subtract their exponents as an equivalent operation.
The degree of a term is the sum of the exponents on the variables.
These terms are called like terms.For example: x and 2x are like terms.But: x3 and 4x2 are not like termsbecause although the variables are the same, the exponents are different.
Degree of a Polynomial
That means that you are supposed to add them.Multiplying the same variable raised to different powers is equivalent to adding the exponents. For example, 10^5 x 10^3 = 10^(5+3) = 10^8. (Using "^" for powers.)
dissimilar terms are terms that do not have the same variable or the variable do not contain the same number of exponents
Polynomial
Multiply-Add Divide-Subtract Power-MultiplyIt's the rule for exponents.If the bases are the same and they're...- multiplied; add the exponents. 22(23) = 25- divided; subtract the exponents (36/34) = 32- raised to a power; multiply the exponents (42)4 = 48
Are term whose variables are the same
Yes 6 is a polynomial, according to the Hawks Learning System.**a more detailed explanation**"A polynomial is defined as a term or a finite sum of terms, with only positive or zero integer exponents permitted on the variables" (Lial, Hornsby, Schneider; 2005)and "The product of a real number and one or more variables raised to powers is called a term" (Lial, Hornsby, Schneider; 2005)So since any variable raised to the zero power is 1, then 6x^0 is the same as 6x1, which equals 6.So yes, 6 is considered a polynomial.
They are "like" terms.
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!
For a term with one variable, the degree is the variable's exponent. With more than one variable, the degree is the sum of the exponents of the variables. This means a linear term has degree 1 and a constant has degree 0.