Find the Degree, Leading Term, and Leading Coefficient h(x)=3x^4+2x-5/x+9x^3-7

$h (x) = 3 x^{4} + 2 x - \frac{5}{x} + 9 x^{3} - 7$

Step 1

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

Move $- \frac{5}{x}$ .

$h (x) = 3 x^{4} + 2 x + 9 x^{3} - \frac{5}{x} - 7$

Move $2 x$ .

$h (x) = 3 x^{4} + 9 x^{3} + 2 x - \frac{5}{x} - 7$

Step 2

The degree, leading term, and leading coefficient cannot be determined because $3 x^{4} + 9 x^{3} + 2 x - \frac{5}{x} - 7$ is not a polynomial.

Not a polynomial