Question

The function f(x)=3/x+7x^2 is a polynomial true or false

Answer 1

False

1) Let's rewrite that polynomial to better analyze it.

`\begin{gathered} f(x)=(3)/(x)+7x^2 \\ \\ f(x)=3x^(-1)+7x^2 \end{gathered}`

Note that the exponents of the x-terms are, -1 and 2.

2) When we compare it to the definition of a Polynomial, we must consider the following:

As we can see, all exponents must be non-negative integer exponents. As

3) Thus we can tell that this statement is False