Final answer:
Subtracting (3.2 + 72 - 4) from (822 - 6x + 2) and simplifying the expressions results in the polynomial (6x - 76.2), which is option B.
Step-by-step explanation:
To subtract (3.2 + 72 - 4) from (822 - 6x + 2), we first simplify both expressions. The first expression simplifies to 3.2 + 68, which equals 71.2. The second expression simplifies to 824 - 6x. The subtraction is then performed by subtracting 71.2 from 824, resulting in 752.8, and preserving the -6x term as it does not have a like term to subtract from in the first expression. Combining these results yields (-6x + 752.8). However, we need to express our final answer in standard polynomial form, which is from highest to lowest degree of x. As this polynomial has only one degree of x, the standard form would simply be the terms ordered correctly, resulting in option B: (6x - 76.2).