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What is degree of monomial?
The degree of a monomial is the sum of the exponents of its variables. For example, in the monomial (3x^2y^3), the degree is (2 + 3 = 5). If a monomial has no variables, such as the constant (7), its degree is considered to be (0).
The degree of a monomial is the sum of the exponents of the literal factors?
Correct.
What is the degree monomial of -5x10y3?
The degree of a monomial is the sum of the exponents of its variables. In the monomial (-5x^{10}y^{3}), the exponent of (x) is 10 and the exponent of (y) is 3. Adding these together gives (10 + 3 = 13). Therefore, the degree of the monomial (-5x^{10}y^{3}) is 13.
How do you find the degree of a monomial?
By definition, a monomial has only one unknown independent variable, usually represented by a letter of the alphabet. The exponent immediately after that symbol for the unknown is the degree of the monomial.
Why monomial is not polynomial?
In mathematics, a polynomial is a finite expression made up of variables and constants, by using the operations of addition, subtraction, multiplication. The other requirement is the the exponents bet non-negative whole number.A polynomial is the sum of two or more monomials. That is why a monomial is not a polynomial.
Is 6xy monomial?
Yes, (6xy) is a monomial. A monomial is a mathematical expression that consists of a single term, which can include variables, coefficients, and exponents. In this case, (6) is the coefficient, and (xy) consists of the variables (x) and (y), all multiplied together, making it a single term.
What is The sum of the exponents on the variables in a term?
Degree of a Polynomial
Is 36 a monomial?
Yes, 36 is a monomial. A monomial is a mathematical expression that consists of a single term, which can be a number, a variable, or a product of numbers and variables with non-negative integer exponents. Since 36 is a single constant term, it qualifies as a monomial.
What do you call the sum of two or more monomials or even one monomial whose exponents are whole numbers?
A polynomial.
How do you devide a monomial by monomial?
To divide a monomial by another monomial, you divide the coefficients (numerical parts) and subtract the exponents of the same base variables. For example, when dividing ( \frac{6x^4}{2x^2} ), you would divide the coefficients ( 6 \div 2 = 3 ) and subtract the exponents of ( x ) as ( 4 - 2 = 2 ). Thus, the result is ( 3x^2 ).
Can a monomial have a minus sign?
Yes, a monomial can have a minus sign. A monomial is defined as a single term that can consist of a coefficient, variables, and exponents, and having a negative coefficient is allowed. For example, -3x² is a monomial because it includes a coefficient (-3) and a variable (x) raised to an exponent (2).
Write a trinomial with degree 7?
the degree of trinomial is the sum of the variables exponents
