Find the Degree 5x^2+7x-2x^2-10x+5

$5 x^{2} + 7 x - 2 x^{2} - 10 x + 5$

Step 1

Simplify and reorder the polynomial.

Subtract $2 x^{2}$ from $5 x^{2}$ .

$3 x^{2} + 7 x - 10 x + 5$

Subtract $10 x$ from $7 x$ .

$3 x^{2} - 3 x + 5$

Step 2

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

$3 x^{2} \to 2$

$- 3 x \to 1$

$5 \to 0$

Step 3

The largest exponent is the degree of the polynomial.

$2$