How do you write a polynomial in standard form, then classify it by degree and...

Explanation:
Standard form of polynomial equation of ${\displaystyle 2^{nd}}$ order is
${\displaystyle a{x}^2+bx+c}$
Rearrange the like terms together and then simplify. Then arrange then again rearrange them in the standard format given above.
${\displaystyle 2-11x^2-8x+6x^2=2+(-11x^2+6x^2)-8x}$
${\displaystyle =2-5x^2-8x=-5x^2-8x+2}$
Answer:
${\displaystyle -5x^2-8x+2}$

The polynomial has three terms (separated by + and - signs), and a degree of 2 because the largest exponent is 2.
Explanation:
Write in standard form:
${\displaystyle 2-{11}^2-8x+6x^2}$
Simplify ${\displaystyle -{11}^2+6x^2}$
${\displaystyle 2-5x^2-8x}$
Rearrange the terms from greatest to least exponent.
${\displaystyle -5x^2}$: exponent of 2
-8x: exponent of 1
2: exponent of 0
${\displaystyle -5x^2-8x+2}$
The polynomial has three terms (separated by + and -signs), and a degree of 2 because the largest exponent is 2.
Result:
${\displaystyle -5x^2-8x+2}$