The answer for this question is B, "2x² - 2x + 6 - 23/(x+3)"
Solving steps:
1. Write the coefficients of the polynomial (2x³ + 4x² - 5) in descending order of the powers of x, including any missing coefficients as 0. In this case, the coefficients are 2, 4, 0, and -5.
2. Write the divisor (x + 3) in the form (x - a), where 'a' is the opposite sign of the constant term. In this case, 'a' is -3.
3. Set up the division by writing 'a' on the outside of the division box, and bring down the first coefficient (2) inside the box.
4. Multiply 'a' by the value inside the box (2) and write the result (-6) under the next coefficient (4). Add the values in the second column (-6 + 4) = -2)
Click "Show Answer" to reveal the answer and analysis