Find the Degree, Leading Term, and Leading Coefficient f(x)=9x^4+8x^3-6x^-2+2x

$f (x) = 9 x^{4} + 8 x^{3} - 6 x^{- 2} + 2 x$

Simplify the polynomial, then reorder it left to right starting with the highest degree term.

Simplify each term.

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$f (x) = 9 x^{4} + 8 x^{3} - 6 \frac{1}{x^{2}} + 2 x$

Combine $- 6$ and $\frac{1}{x^{2}}$ .

$f (x) = 9 x^{4} + 8 x^{3} + \frac{- 6}{x^{2}} + 2 x$

Move the negative in front of the fraction.

$f (x) = 9 x^{4} + 8 x^{3} - \frac{6}{x^{2}} + 2 x$

Move $- \frac{6}{x^{2}}$ .

$f (x) = 9 x^{4} + 8 x^{3} + 2 x - \frac{6}{x^{2}}$

The degree, leading term, and leading coefficient cannot be determined because $9 x^{4} + 8 x^{3} + 2 x - \frac{6}{x^{2}}$ is not a polynomial.

Not a polynomial