Final answer:
To divide the polynomial (2a² + a) by (a - 1), use long division. The remainder should be written as a fraction.
Step-by-step explanation:
To divide the polynomial (2a² + a) by (a - 1), we will use long division. Write the polynomial in descending order of exponents, and then divide the first term of the polynomial by the first term of the divisor. In this case, 2a² divided by a gives 2a. Multiply the divisor by the quotient we obtained, and subtract this result from the dividend. Repeat the process with the new dividend term and the divisor, and continue until we can no longer divide. The remainder will be written as a fraction, with the numerator as the remaining term and the denominator as the divisor.