Question

Determine which expressions are polynomials. Explain your reasoning.


`x^(5) + 3`


`5^(x) + 3`


`3`

Answer 1

For this case we have that a polynomial is of the form:

`p (x) = ax ^ n + bx ^ {n-1} + ... + cx ^ 3 + dx ^ 2 + ex + f`

Where:

a, b, c, d, e, f: They are the coefficients

n, n-1,3,2,1: They are the exponents, where n is to the degree of the polynomial because it is the largest.

x: It is the variable.

So, we have to:

`x ^ 5 + 3` is a polynomial of degree 5.

Answer:

`x ^ 5 + 3`