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Answer :
To find the remainder in the synthetic division problem, let's first clearly understand the setup based on the given information. We have:
1. A single coefficient, which is 1.
2. A divisor, which is [tex]\( x + 46 \)[/tex]. However, in synthetic division, we use the number we would set [tex]\( x + 46 = 0 \)[/tex], giving us [tex]\( x = -46 \)[/tex].
The process for synthetic division is as follows:
- We write the single coefficient, which is 1.
- Since there are no other terms to consider, we simply take this coefficient and multiply it by the divisor, which is a value of [tex]\(-46\)[/tex].
Since there are no more coefficients to adjust and add, the last calculated value serves as our remainder.
After following this process, the remainder calculated is 1.
Therefore, the remainder in the synthetic division problem is:
1.
Since none of the multiple-choice options match 1 directly, it seems there may be some information or setting that needs clarification. Otherwise, based on the calculations as observed, the remainder is 1.
1. A single coefficient, which is 1.
2. A divisor, which is [tex]\( x + 46 \)[/tex]. However, in synthetic division, we use the number we would set [tex]\( x + 46 = 0 \)[/tex], giving us [tex]\( x = -46 \)[/tex].
The process for synthetic division is as follows:
- We write the single coefficient, which is 1.
- Since there are no other terms to consider, we simply take this coefficient and multiply it by the divisor, which is a value of [tex]\(-46\)[/tex].
Since there are no more coefficients to adjust and add, the last calculated value serves as our remainder.
After following this process, the remainder calculated is 1.
Therefore, the remainder in the synthetic division problem is:
1.
Since none of the multiple-choice options match 1 directly, it seems there may be some information or setting that needs clarification. Otherwise, based on the calculations as observed, the remainder is 1.
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