Question

HELP ASAP!

Answer 1

The given expressions are $\frac{x^{4}}{3}-6,2 x^{4}+12 x+4, x^{3}+4 x \text { and } \frac{3}{x^{4}}-6 x^{3}$.

The polynomial is in the form of $a x^{2}+b x+c$.

$\frac{x^{4}}{3}-6$ in this expression, x is in the numerator. So, it is a polynomial.

$2 x^{4}+12 x+4$, it is a polynomial.

$x^{3}+4 x$, it is a polynomial.

$\frac{3}{x^{4}}-6 x^{3}$ in this expression, x is in the denominator. but, x cannot be in the denominator.

So, $\frac{3}{x^{4}}-6 x^{3}$ is not a polynomial.