Question

Can the degree of a monomial ever be a negative? Explain your answer.

Answer 1

The degree of a monomial never be a negative value. Polynomials in general can never have a degree that is negative or a fraction. A monomial is defined as a single term containing any combination of constants and non-negative powers of variables.

Answer 2

Answer:

No, the degree of monomial can never be negative.

Explanation:

Monomial: It is defined as that polynomial in which consist  of one term only.

Mono means one ,therefore, monomial is that polynomial which consist only one term

Suppose p(x)=x or P(x)=2

These are monomial because both polynomial have only one term.

We know that degree is defined as the highest power of x in the given polynomial of x.

We know that degree is always a whole number.In above example, the degree of given polynomial P(x)=x is 1 and degree of P(x)=2 is zero.

Hence, the degree of monomial can never be negative.