SOLUTION: Determine if the expressions are a monomial. If it is, name the variable(s) and the coefficient and give the degree of the monomial. If it is not a monomial, state why not. A.

Question 1208423: Determine if the expressions are a monomial. If it is, name the variable(s) and the coefficient and give the degree of the monomial. If it is not a monomial, state why not.

A. -4x^2
Monomial
Coefficient is -4
The variable is x
The degree is 2
B. -2x^(-3)
-2x^(-3) = -1/2x^(3)
I say B is not a monomial. The exponent is a non-negative integer.
C. 5x^2•y^3
Monomial
Coefficients are 5 and 1
Variables are x and y
The degree is 3
D. -(2x^2/(y^3)
I am not sure about D. Is this a monomial? If not, why?
E. 3x^2 + 4
This is not a monomial. This is a binomial.
You say?

Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
(A)   correct.

(B)   -2x^(-3) = -.   Not a monomial

      In your post, you incorrectly treated the coefficient as -.

      In reality, the coefficient is -2.

(C)   correct.   The coefficient is 5.

      It is not " 5 and 1 ".

      The rest is correct.

(D)   It is not a monomial.   It is a rational function   (there is y^3 in the denominator).

(E)   correct.

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