Question

Which of the expressions are NOT polynomials???

Answer 1

The strictest definition of a polynomial admits a sum of terms each a constant times a natural number power of the variable (or each variable), or a constant.

A. Has a
`√(x)`, a one-half power. The exponents of x must be natural numbers. NO

B. sum of constants times natural number powers of x. YES

C. -7 isn't a natural number, this isn't a polynomial in x. It is one in 1/x but I'll still go with NO.

D. Natural powers of x and a constant, YES

E. Dividing by a function of x, not allowed. NO

F. All natural powers, YES

Answer: check B D F