What is a monomial?

What is a monomial?

Two definitions of a monomial may be encountered: (1): A monomial, also called power product, is a product of powers of variables with nonnegative integer exponents, or, in other words, a product of variables, possibly with repetitions.

What is the value of 1 in a monomial?

(1): A monomial, also called power product, is a product of powers of variables with nonnegative integer exponents, or, in other words, a product of variables, possibly with repetitions. The constant 1 is a monomial, being equal to the empty product and x0 for any variable x.

What is a power product of a monomial?

A monomial, also called power product, is a product of powers of variables with nonnegative integer exponents, or, in other words, a product of variables, possibly with repetitions. For example, is a monomial.

Is 7x + 3 a monomial?

Step 3: 7x + 3 is not a monomial as there are two terms in the expression. [7x and 3 are the two terms.] Step 4: y- 2 is not a monomial as it is having a negative exponent. Step 5: But, 9xy is a monomial as it is having only one term in the expression. [9xy is the only one term.]

A monomial is a polynomial, which has only one term. As we know, polynomials are equations or algebraic expressions which consists of variables and coefficients and has one or more terms in them. Each term of the polynomial is a monomial.

What are some examples of single terms and monomials?

Let us consider some of the variables and examples: p – One variable and degree is one. 5p 2 – with 5 as coefficient and degree as two. p 3 q – with two variables and degree as 4 (3+1). Let us consider x 3 +3x 2 +4x+12 is a polynomial, where x 3 ,3x 2 ,4x and 12 are the single terms and called as monomials.

What does the prefix mono mean in math?

Mono mial – the prefix mono means one. A monomial is one term. A monomial can be any of the following: In the equations unit, we said that terms were separated by a plus sign or a minus sign. Therefore: A monomial CANNOT contain a plus sign (+) or a minus (-) sign.

What are the limitations of monomials?

The sum or difference of two monomials might not result in a monomial. An expression having a single term with a negative exponent cannot be considered as a monomial. (i.e) A monomial cannot have variables with negative exponents. Identify which of the following is a Monomial.

What is the degree of the monomial expression?

In case, the monomial expression is a constant value. The degree of the non-zero constant is given as 0. The degree of the monomial expression is also called the order of the monomial. Like factoring a number, the monomial expression can also be factored.