# How do you find the degree of (2x^3 - 2x^2 +14 - 10) - (10x^3-7x^2-10x+10)?

May 3, 2018

3

#### Explanation:

when asking about the degree of the polynomial, it is basically asking what is the highest degree of its polynomials ie $3 {x}^{3} + 4 {x}^{7}$

$\left(2 {x}^{3} - 2 {x}^{2} + 14 - 10\right) - \left(10 {x}^{3} - 7 {x}^{2} - 10 x + 10\right)$

=$2 {x}^{3} - 2 {x}^{2} + 4 - 10 {x}^{3} + 7 {x}^{2} + 10 x - 10$

=$- 8 {x}^{3} + 5 {x}^{2} + 10 x - 6$

Therefore, the degree of the polynomial is 3