What is a monomial in algebra 1?
A monomial is an expression in algebra that contains one term, like 3xy. Monomials include numbers, variables or multiple numbers and/or variables that are multiplied together. Any number all by itself is a monomial, like 5 or 2,700.
What is an example of a monomial?
Monomial is an expression that has a single non-zero term. Monomials can be numbers, variables, or numbers multiplied with variables. For example, 2, ab, and 42xy are examples of a monomial. A few other examples of monomials are 5x, 2y3, 7xy, x5.
What is the product rule for monomials?
Product Rule: When multiplying monomials that have the same base, add the exponents. Example 1: Example 2: Power Rule: When raising monomials to powers, multiply the exponents.
How do you add subtract and multiply Monomials?
To add two or more monomials that are like terms, add the coefficients; keep the variables and exponents on the variables the same. To subtract two or more monomials that are like terms, subtract the coefficients; keep the variables and exponents on the variables the same.
Is x1 a monomial?
Yes, x1 is a monomial. Notice that x1 is a variable, x, raised to a positive integer power, 1. Therefore, it satisfies the definition of a monomial,…
Is the number 11 a monomial?
11 is a monomial. A monomial is a polynomial with exactly one term. The term can be a real number, a variable, a power of a variable, or numbers and…
Which of the following algebraic expression is monomial?
Difference Between Monomial, Binomial and Trinomial
| Monomial | Binomial | Trinomial |
|---|---|---|
| A monomial is an expression with a single term. | A binomial is a polynomial or algebraic expression, which has a maximum of two non-zero terms. | A trinomial is a polynomial or algebraic expression, which has a maximum of three non-zero terms. |
Is the number 1 a monomial?
Yes, 1 is a monomial. There are three special types of polynomials that are each named by the number of terms in them. A polynomial with three terms…
Is a set of monomials closed under addition?
Yes; the sum of any two monomials is a monomial. B. No; the product of two monomials could be a polynomial.. C.