Question

Use either synthetic or long division to determine the quotient after 2x³ - x² is divided by x - 3.

Answer 1

To divide 2x³ - x² by x - 3, we can use either synthetic division or long division. Let's use long division to find the quotient.

Step-by-step explanation:

To divide 2x³ - x² by x - 3, we can use either synthetic division or long division. Let's use long division:

1. Start by dividing the highest power of x in the dividend (2x³) by the highest power of x in the divisor (x).
2. Write the quotient (2x²) above the division bar and multiply it by the divisor (x - 3).
3. Subtract the product from the dividend and bring down the next term.
4. Repeat the process until all terms have been divided.

By following these steps, you will find the quotient after dividing 2x³ - x² by x - 3.