Final answer:
To divide the polynomial
- 16x - 5 by x + 5 using synthetic division, follow these steps: 1. Write the coefficients in descending order. 2. Perform the synthetic division. 3. The result is the quotient and the remainder.
Step-by-step explanation:
To divide the polynomial
- 16x - 5 by x + 5, we can use synthetic division. Here are the steps:
1. Write the coefficients of the polynomial in descending order. In this case, the coefficients are 2, 8, -13, -16, -5.
2. Place the constant term (-5) in the division box.
3. Bring down the first coefficient (2).
4. Multiply the number in the division box (5) by the coefficient you brought down (2) and write the result under the next coefficient (8).
5. Add the result to the next coefficient (-5 + 8 = 3) and write the sum under the next coefficient (-13).
6. Repeat steps 4 and 5 until you reach the last coefficient.
7. The last number in the division box is the remainder.
The result of dividing
- 16x - 5 by x + 5 is
- 10x + 15 with a remainder of 70.