Determine if a Polynomial -(q^4)/6-6p^3 square root of 5+7q^3 square root of p

$- \frac{q^{4}}{6} - 6 p^{3} \sqrt{5} + 7 q^{3} \sqrt{p}$

Step 1

A polynomial is a combination of terms separated using $+$ or $-$ signs. Polynomials cannot contain any of the following:

1. Variables raised to a negative or fractional exponent. ( $2 x^{- 2}$ , $x^{\frac{1}{2}}$ , $\dots$ ).

2. Variables in the denominator. ( $\frac{1}{x}$ , $\frac{1}{x^{2}}$ , $\dots$ ).

3. Variables under a radical. ( $\sqrt{x}$ , $\sqrt[3]{x}$ , $\dots$ ).

4. Special features. (trig functions, absolute values, logarithms, $\dots$ ).

Step 2

Determine if the expression breaks any of the rules.

Breaks rule $3$

Step 3

Determine if the expression is a polynomial.

Not a polynomial