Yes, it is.
false
A monomial in one variable of degree 4 is an expression that consists of a single term with a variable raised to the fourth power. An example of such a monomial is (5x^4), where 5 is the coefficient and (x) is the variable. The degree of the monomial is determined by the exponent of the variable, which in this case is 4.
Every term of a polynomial is a monomial.
It's a monomial of 1st degree (linear). "3x over seven" = (3/7)x The x term (indeed the ONLY term -- hence monomial) has a coefficient of 3/7. Since the variable x appears to the 1st power, it's 1st degree.
You start with the monomial of highest degree followed by the next monomial and continue till you have listed them all with the one of highest degree first and the lowest degree last. The last term is often a number (constant). ( in case you forgot, a monomial is a polynomial with only one term.) The simplest form part just means combine any like terms. I would suggest doing that first.
true
Yes, it is.
false
The degree of a term is the sum of the exponents on the variables.
4x2y The degree of the monomial is 2.
A monomial in one variable of degree 4 is an expression that consists of a single term with a variable raised to the fourth power. An example of such a monomial is (5x^4), where 5 is the coefficient and (x) is the variable. The degree of the monomial is determined by the exponent of the variable, which in this case is 4.
Every term of a polynomial is a monomial.
If by "xn" you mean ax^n then the answer is "a"
The "degree" is only specified for polynomials. The degree of a monomial (a single term) is the sum of the powers of all the variables. For example, x3y2z would have the degree 6; you have to add 3 + 2 + 1 (since z is the same as z to the power 1). The degree of a polynomial is the degree of its highest monomial.
It depends on the power to which the single variable is raised in that one term.
It's a monomial of 1st degree (linear). "3x over seven" = (3/7)x The x term (indeed the ONLY term -- hence monomial) has a coefficient of 3/7. Since the variable x appears to the 1st power, it's 1st degree.
Since a monomial is a term, any real number is is a monomial.