# Can polynomials be monomials or sum of monomials?

## Can polynomials be monomials or sum of monomials?

A polynomial is a sum of a finite number of monomials, which are called the terms of the polynomial. The highest of the degrees of the terms is the degree of the polynomial.

## What is the sum of monomials?

A polynomial is the sum of n monomials, for some whole number n . So monomials, binomials and trinomials are all special cases of polynomials. A polynomial can have as many terms as you want. The degree of a monomial is the sum of the exponents of all its variables.

How do I multiply Monomials?

Multiplication of Monomials When you multiply monomials, first multiply the coefficients and then multiply the variables by adding the exponents. Note that when you multiply monomials with same base, you can add their exponents. This is called the Product of Powers Property.

### Is a BA Monomial?

Any number all by itself is a monomial, like 5 or 2,700. A monomial can also be a variable, like “b” or “y.” It can also be a combination of these, like 98b or xy.

### What is the sum of the two polynomials?

Step-by-step explanation: Summing two polynomials simply means to sum the coefficients of the same powers, if this situations occur. the result of adding two polynomials will always be another polynomial.

What is the sum of the polynomials?

The degree of the monomial is the sum of the exponents of all included variables. Constants have the monomial degree of 0. A polynomial as oppose to the monomial is a sum of monomials where each monomial is called a term. The degree of the polynomial is the greatest degree of its terms.

## What is the sum of 2 polynomials?

A polynomial is a sum of some powers of a certain variable, with some coefficient to multiply each power. Step-by-step explanation: Summing two polynomials simply means to sum the coefficients of the same powers, if this situations occur. the result of adding two polynomials will always be another polynomial.

## Is a BA monomial?

What’s the difference between a polynomial and a monomial?

A polynomial as oppose to the monomial is a sum of monomials where each monomial is called a term. The degree of the polynomial is the greatest degree of its terms. A polynomial is usually written with the term with the highest exponent of the variable first and then decreasing from left to right.

### Is the monomial the sum of all exponents?

The degree of the monomial is the sum of the exponents of all included variables. Constants have the monomial degree of 0. A polynomial as oppose to the monomial is a sum of monomials where each monomial is called a term.

### How to find the sum of polynomials in Algebra?

Substitute − 1 − 1 for each x in the polynomial. Following the order of operations, evaluate exponents first. Multiply 3 times 1, and then multiply − 2 − 2 times − 1 − 1. Change the subtraction to addition of the opposite. Find the sum.

When do you call a polynomial A trinomial?

Polynomial just means that we’ve got a sum of many monomials. If we have a polynomial consisting of only two terms we could instead call it a binomial and a polynomial consisting of three terms can also be called a trinomial. What’s the degree of the following polynomials?