Find the Degree f(x)=1/4x^5+8x-5x^4-19

$f (x) = \frac{1}{4} x^{5} + 8 x - 5 x^{4} - 19$

Step 1

Combine $\frac{1}{4}$ and $x^{5}$ .

$\frac{x^{5}}{4} + 8 x - 5 x^{4} - 19$

Step 2

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

$\frac{x^{5}}{4} \to 5$

$8 x \to 1$

$- 5 x^{4} \to 4$

$- 19 \to 0$

Step 3

The largest exponent is the degree of the polynomial.

$5$