Find the Degree 5x^9+6x^9-6x^6+4x^3

$5 x^{9} + 6 x^{9} - 6 x^{6} + 4 x^{3}$

Step 1

Add $5 x^{9}$ and $6 x^{9}$ .

$11 x^{9} - 6 x^{6} + 4 x^{3}$

Step 2

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

$11 x^{9} \to 9$

$- 6 x^{6} \to 6$

$4 x^{3} \to 3$

Step 3

The largest exponent is the degree of the polynomial.

$9$