**cannot have a fractional or negative exponent**. Monomial examples include: 6xy.

Is a fraction bar a grouping symbol?

**what would -4 be as a fraction?**.

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A monomial is an algebraic expression with only one term, so **132y÷ 9y or 47z + 2y** are not monomials. These are called polynomials since they have a finite number of terms.

An expression which is made up of only addition, subtraction, and multiplication is called a polynomial. The coefficients in a polynomial can be fractions, but there are no variables in denominators. The degree of a polynomial is the degree of the highest degree term. … A polynomial with one term is called a monomial.

A monomial is a polynomial, which has only one term. A monomial is an **algebraic expression with single term**, but can have multiple variables and higher degree too. For example, 9x3yz is a single term, where 9 is the coefficient, x,y,z are the variables and 3 is the degree of monomial.

- a is a monomial in one variable a.
- 10ab2 is a monomial in two variables a and b.
- 5m2n is a monomial in two variables m and n.
- -7pq is a monomial in two variables p and q.
- 5b3c is a monomial in two variables b and c.
- 2b is a monomial in one variable b.
- 2ax/3y is a monomial in three variables a, x and y.

Remember, a monomial cannot have variables with negative exponents. Luckily, since **the numerator and denominator have the same variable (a), we can divide them**. You need to be careful when dividing two monomials though; you can end up with answers that are not monomials.

Yes, **1 is a monomial**. There are three special types of polynomials that are each named by the number of terms in them.

Another rule of thumb is **if there are any variables in the denominator of a fraction then the algebraic expression** isn’t a polynomial. There are lots of radicals and fractions in this algebraic expression, but the denominators of the fractions are only numbers and the radicands of each radical are only a numbers.

To factor out **a fraction, multiply by the reciprocal**. For instance, factoring 1/2 from 5x is equivalent to 1/2 (2 times 5x) which equals 1/2 (10x).

A monomial is an algebraic expression that has only **one term**. The basic building block of a polynomial is a monomial. A monomial is one term and can be a number, a variable, or the product of a number and variables with an exponent. The number part of the term is called the coefficient.

A monomial in standard form is (essentially) **the product of one or more factors: a constant coefficient and one factor for each variable in the expression**. Furthermore, the factor for a given variable must be the variable raised to the power of a constant whole number, the degree of that variable.

A monomial is an expression in which variables and constants may stand alone or be multiplied. A monomial cannot have a variable in the denominator. You can think of a monomial as **being one term**.

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.

Step-by-step explanation: A monomial refers to an expression that involves one term, like 5xy. Monomials include variables, numbers, and whole numbers whose multiplication takes place together. Any number, all by itself, can be a monomial, like the number 5 or the number 2,700.

monomial—**A polynomial with exactly one term**. **binomial**— A polynomial with exactly two terms. trinomial—A polynomial with exactly three terms. Notice the roots: poly– means many.

(b) **3 is a monomial** because it is a single non-zero term and any number by itself is a monomial. (c) x + 5y is not a monomial because it has two terms.

A monomial is **a number, a variable, or a product of numbers and variables with whole number exponents**. The degree of a monomial is the sum of the exponents of the variables.

To factor a monomial means **to express it as a product of two or more monomials**. For example, below are several possible factorizations of 8 x 5 8x^5 8×58, x, start superscript, 5, end superscript.

**The answer is NO**. If there was a polynomial with algebraic coefficients, there would also be a polynomial with rational coefficient (with a larger degree). That’s because ˉQ is algebraically closed. Suppose that π were the root of a polynomial f(x)=xn+an−1xn−1+⋯+a0 with the ai being algebraic numbers.

Like any constant value, the value 0 can be considered as a (constant) polynomial, called the zero polynomial. It **has no nonzero terms**, and so, strictly speaking, it has no degree either. As such, its degree is usually undefined.

There are rules for writing polynomials. A **polynomial cannot have a variable in** the denominator or a negative exponent, since monomials must have only whole number exponents. Polynomials are generally written so that the powers of one variable are in descending order.

- Multiply the top numbers (the numerators).
- Multiply the bottom numbers (the denominators).
- Simplify the fraction if needed.

- Factorise the numerator x 2 + 5 x + 4 .
- Factorise the denominator 4 x + 16 .
- This gives 4 ( x + 4 ) .
- There is a common factor throughout the fraction of ( x + 4 ) . Cancelling out this factor will simplify the expression.

A constant is a quantity which does not change. It is a quantity whose value is fixed and not variable for example the numbers 3, 8, 21… … A monomial is a number, or a variable or the product of a number and one or more variables. For example, -5, **abc/6**, x… are monomials.

A numerical coefficient is **a constant multiplier of the variables in a term**. In the term -5x2y, the numerical coefficient is -5. In the expression ax2 + bx + c, the numerical coefficient of the x2 term is “a” and the numerical coefficient of the x term is “b”.

CBSE NCERT Notes Class 8 Maths Algebraic Expressions and Identities. **Expression that contains only one term** is called a monomial. Ex: 2x, 4y2, 3xy, etc are monomials. Expression that contains two terms is called a binomial.

To reduce a monomial to the standard form is **to multiply the same-type factors that make up the monomial**. That is, numbers should be multiplied with numbers, variables with variables, powers with powers. As a result of these actions, we obtain a simplified monomial, which is identically equal to the previous one.

**A polynomial** is a monomial or the sum or difference of monomials, so the expression is a polynomial. The expression has three terms, so it is a trinomial. 3.

The chapter teaches **6th-8th grade** students about monomials and polynomials as well as how to complete mathematical functions with monomials and polynomials.

The term 4x2y2 **is a monomial**. A binomial has two terms, and a trinomial has three terms.

Monomials can’t have a variable in the denominator, they consist of only one variable, or a coefficient, or a product of coefficients and variables. For example, 4xy,5,6x,y are all monomials. Hence it is **True** that A monomial is a product of powers of variables with non-negative integer exponents.

A cubic monomial is **a monomial that has a degree of 3**.

The degree of a monomial is **the sum of the exponents of all its variables**. Example 1: The degree of the monomial 7y3z2 is 5(=3+2) . Example 2: The degree of the monomial 7x is 1 (since the power of x is 1 ).