Find the Degree, Leading Term, and Leading Coefficient h(x)=5x^3-7x^-2+x-1

$h (x) = 5 x^{3} - 7 x^{- 2} + x - 1$

Step 1

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 $b^{- n} = \frac{1}{b^{n}}$ .

$h (x) = 5 x^{3} - 7 \frac{1}{x^{2}} + x - 1$

Combine $- 7$ and $\frac{1}{x^{2}}$ .

$h (x) = 5 x^{3} + \frac{- 7}{x^{2}} + x - 1$

Move the negative in front of the fraction.

$h (x) = 5 x^{3} - \frac{7}{x^{2}} + x - 1$

Move $- \frac{7}{x^{2}}$ .

$h (x) = 5 x^{3} + x - \frac{7}{x^{2}} - 1$

Step 2

The degree, leading term, and leading coefficient cannot be determined because $5 x^{3} + x - \frac{7}{x^{2}} - 1$ is not a polynomial.

Not a polynomial