Question

Use long division method to find the result when 8x cubed +20x+2x+6 is divided by 2x+1

Answer 1

To divide 8x³ + 20x + 2x + 6 by 2x + 1 using long division, follow these steps: Divide the first term 8x³ by 2x to get 4x². Multiply the divisor 2x + 1 by the quotient 4x² to get 8x³ + 4x². Subtract 8x³ + 4x² from the original polynomial to get 16x² + 2x + 6. Divide the new polynomial 16x² + 2x + 6 by 2x to get 8x + 1. Multiply the divisor 2x + 1 by the quotient 8x to get 16x² + 8x. Subtract 16x² + 8x from the new polynomial to get 2x + 6. The final result is 4x² + 8x + 1.

Step-by-step explanation:

To divide 8x³ + 20x + 2x + 6 by 2x + 1 using long division, follow these steps:

1. Divide the first term 8x³ by 2x to get 4x².
2. Multiply the divisor 2x + 1 by the quotient 4x² to get 8x³ + 4x².
3. Subtract 8x³ + 4x² from the original polynomial to get 16x² + 2x + 6.
4. Divide the new polynomial 16x² + 2x + 6 by 2x to get 8x + 1.
5. Multiply the divisor 2x + 1 by the quotient 8x to get 16x² + 8x.
6. Subtract 16x² + 8x from the new polynomial to get 2x + 6.

The final result is 4x² + 8x + 1.