Answer :
Final answer:
In synthetic division, the steps of multiplication and addition are followed using the coefficients of a polynomial. In the provided example, following these steps results in the number -7 in the question mark.
Explanation:
In synthetic division, the number placed in the question mark position is the solution or remainder after division. In your problem, the sequence of numbers represents the coefficients of a polynomial, the number being divided by is 1, and the process of synthetic division will help us find the question mark.
Following the steps of synthetic division:
- The first number remains the same (1 becomes 1).
- Multiply the first number in the bottom row by the number you're dividing by (1*1=1).
- Add the number you just found to the number in the row directly above it and write this sum in the next cell in the bottom row (-2+1=-1).
- Repeat steps 2 and 3, continuing to multiply, then add (-1*1=-1, -8+-1=-9).
- The same steps are followed until you reach the amount in the question mark.
This method will give you -7 in the question mark after continuing the steps for the rest of the coefficients. So, the answer is -7.
Learn more about Synthetic Division here:
https://brainly.com/question/31409612
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