Final answer:
To divide (7a² + 2) by a, use long division method.
Step-by-step explanation:
To divide (7a² + 2) by a, we can use long division. We divide the highest power of a in the numerator, which is a², by the highest power of a in the denominator, which is a. This gives us a as the quotient. Multiplying a by a in the denominator, we get a³. Subtracting (7a² + 2) - (a³), we get (-a³ + 7a² + 2) as the new numerator. We continue the process by dividing (-a³ + 7a² + 2) by a again. This time, the highest power of a in the numerator is a², and the highest power of a in the denominator is a. Therefore, the quotient is -a, and the new numerator is (-a³ + 7a² + 2) - (-a * a²) which simplifies to (8a² + 2).
So, the result of the division (7a² + 2) ÷ a is a - a + (8a² + 2) ÷ a. Simplifying further, we have 8a² - a + 2 ÷ a as the final division with the remainder expressed as a fraction.
Learn more about dividing polynomials