Tell whether the expression is a polynomial. If it is,

jubateee 2021-12-17 Answered
Tell whether the expression is a polynomial. If it is, give its degree. If it is not, state why not.
3x25x
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Expert Answer

Vivian Soares
Answered 2021-12-18 Author has 36 answers
Step 1
A polynomial in a variable x is an expression consisting a sum of monomials. Each monomial is a term with a constant multiplying a term which is a power of x.
The power of x must be a whole number in each monomial. The degree of a polynomial is the power of x in the monomial with the highest power of x of all the monomials in the polynomial.
Step 2
Given expression is 3x25x. This can be written as 3x25x1. So we have a term with x raised to the power of -1. But -1 is not a whole number hence this expression is not a polynomial.

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