Final answer:
The remainder for the polynomial division (3x^3 – x^2 – 7x + 6) ÷ (2 + 2) is 6.
Step-by-step explanation:
To find the remainder for the polynomial division (3x^3 – x^2 – 7x + 6) ÷ (2 + 2), we can use long division method. First, divide the highest degree term of the dividend by the highest degree term of the divisor. In this case, divide 3x^3 by 2 to get 1.5x^2. Multiply the entire divisor (2 + 2) by 1.5x^2, and subtract it from the original dividend. Repeat this process until all terms have been divided. The final result will be the quotient plus the remainder, if any. In this case, the remainder is 6.