Answer :
Quotient in polynomial form is 2x + 7.
To complete the synthetic division problem, we start with the coefficients 2, 9, and 7 of the polynomial and the number -1. Here is the step-by-step process:
- Bring down the leading coefficient (2) to the bottom row.
- Multiply -1 by the number just written down (2), and write the result above the next coefficient.
- Add the numbers in the column (9 + (-2) = 7) and write the result in the bottom row.
- Repeat this process until each coefficient has been used.
The final row contains the coefficients of the quotient polynomial.
Performing these steps, we get:
- Down 2,
- Multiply -1 by 2 to get -2, then add 9 to get 7 (above the 7).
- Multiply -1 by 7 to get -7, then add 7 to get 0 (remainder).
The quotient in polynomial form is thus 2x + 7.
Answer:
2x+7
Step-by-step explanation:
See the attachment for the working and an explanation of how you find the numbers in the table.
The quotient is 2x+7.
