Answer
$$a+1+\frac{6}{a-2}$$
Work Step by Step
$$(a^{2} - a + 4) \div (a - 2)$$
To divide polynomials, do the following steps:
1. Divide the first term of the numerator by the first term of the denominator, and write that in the answer.
2. Multiply the denominator by that answer, put that below the numerator
3. Subtract to create a new polynomial
Repeat these steps until the degree of the remainder is less than the degree of the divisor.
Thus, we have:
