Find the Degree 7x^7+10x^4+4x^3-5x^11-10x^6-6x^7

$7 x^{7} + 10 x^{4} + 4 x^{3} - 5 x^{11} - 10 x^{6} - 6 x^{7}$

Step 1

Subtract $6 x^{7}$ from $7 x^{7}$ .

$x^{7} + 10 x^{4} + 4 x^{3} - 5 x^{11} - 10 x^{6}$

Step 2

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

$x^{7} \to 7$

$10 x^{4} \to 4$

$4 x^{3} \to 3$

$- 5 x^{11} \to 11$

$- 10 x^{6} \to 6$

Step 3

The largest exponent is the degree of the polynomial.

$11$