In Algebra, a monomial is an expression that has a single term, with variables and a coefficient. For example, 2xy is a monomial since it is a single term, has two variables, and one coefficient. Monomials are the building blocks of polynomials
Polynomial
In mathematics, a polynomial is an expression consisting of variables and coefficients which only employs the operations of addition, subtraction, multiplication, and non-negative integer exponents. An example of a polynomial of a single variable x is x² − 4x + 7. An example in three vari…
Are monomials that contain no variables?
Answer and Explanation: A monomial with no variables is a constant. The expressions and equations that we work with in math can be broken down into smaller components known as terms. A term can consist of constants, variables, or constants and variables multiplied together.
What are the rules for monomials?
A monomial is a number, a variable, or a product of a number and one or more variables. The only rules are that the variables should be raised to only positive integer powers (no square roots or 1x's allowed), and no plus or minus signs.
Does a monomial only have one variable?
A monomial is an expression in algebra that contains one term, like 3xy. Monomials include numbers, whole numbers and variables that are multiplied together, and variables that are multiplied together.
How do you know if it is a monomial?
In algebra, a monomial is an expression that contains only one term. In other words, a monomial is a polynomial with a single term. Generally, monomials include numbers, variables, or a number and a variable multiplied together, two or more variables multiplied together.
What are the variables of a monomial?
The variables are the letters present in a monomial. The coefficient is the number that is multiplied by the variables. The degree is the sum of the exponents of the variables in a monomial. The exponent of x is 1, and the exponent of y is 2, so the degree is 2 + 1 = 3.
How many variables does a monomial have?
Monomials are constructed of one term of coefficients and variables, whereas polynomials involve two or more terms.
What is not a monomial?
What Are Not Monomials? An expression such as 8y-4 is not a monomial. Although it has a whole number exponent, the exponent is negative. Similarly, 3y1/2 is not a monomial because the exponent is not a whole number.
Can 4 be a monomial?
Answer and Explanation: Thus, we have that 4 is a product of a combination of numbers, variables, and whole number powers of those variables, so it satisfies the definition of a monomial. Furthermore, since 4 is made up of a single real number it is a constant monomial.
What are the three parts of monomial?
A monomial has three parts, a coefficient, a literal part, and a degree.
What are the three parts of monomial?
A monomial has three parts, a coefficient, a literal part, and a degree.
What is the rule for adding and subtracting 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.
What is the rule for dividing monomials?
When dividing a monomial by another monomial, we divide the coefficients and apply the quotient law of exponents, x m ÷ x n = x m – n to the variables. If both the monomials have negative coefficients, the negative signs cancel out and the answer so obtained will be having a positive coefficient only.
What are the rules for multiplying and dividing monomials?
To multiply a monomial by a known number, simply multiply the coefficient by the number. To multiply a monomial by a variable, simply multiply the variable by the other variable; this will often result in an exponent. To divide a monomial by a known number, simply divide the coefficient by the number in question.
Define monomial, binomial and trinomial
A monomial is an expression with only one term. Example. 3x. A binomial is an expression with two terms. Example 2x+3y A trinomial is an expressi...
What is meant by the degree of a monomial?
The degree of a monomial is defined as the sum of the exponents of the variables present in the monomial term.
What are the different arithmetic operations performed on monomials?
The different arithmetic operations performed on monomials are addition, subtraction, multiplication and division.
Can we get a monomial term while adding two monomials?
If two monomials with the same literal parts are added, the sum should be a monomial. But, if we add two monomials with different literal parts, th...
How to identify the monomial expression?
The monomial expression should not have an addition or subtraction operator. A monomial can be a constant term or else, the variables with coeffici...