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Answer :
To solve the problem, we need to understand a couple of things. First, let's look at the expression inside the square root: [tex]\( \sqrt{12 - 32} \)[/tex].
1. Calculate the expression inside the square root:
- We have [tex]\( 12 - 32 \)[/tex].
- Subtracting these numbers gives us [tex]\(-20\)[/tex].
2. Analyze the square root of a negative number:
- In the real number system, the square root of a negative number is not defined. So, [tex]\( \sqrt{-20} \)[/tex] does not have a real number solution.
This tells us that there may be a misunderstanding in how the question is presented because the square root of a negative number is not something we can work with in synthetic division.
Therefore, if we are looking at the expression [tex]\( \sqrt{12 - 32} \)[/tex] and calculating it straightforwardly without considering any further context about synthetic division, the number inside the square root is [tex]\(-20\)[/tex], which means the square root itself is not applicable in the real number system.
In conclusion, the calculation itself yields [tex]\(-20\)[/tex], indicating a possible error in the context of the question referring to synthetic division specifically. Thus, among the choices for the remainder of a synthetic division problem, the question doesn't fit traditional expectations based directly on the presented content.
1. Calculate the expression inside the square root:
- We have [tex]\( 12 - 32 \)[/tex].
- Subtracting these numbers gives us [tex]\(-20\)[/tex].
2. Analyze the square root of a negative number:
- In the real number system, the square root of a negative number is not defined. So, [tex]\( \sqrt{-20} \)[/tex] does not have a real number solution.
This tells us that there may be a misunderstanding in how the question is presented because the square root of a negative number is not something we can work with in synthetic division.
Therefore, if we are looking at the expression [tex]\( \sqrt{12 - 32} \)[/tex] and calculating it straightforwardly without considering any further context about synthetic division, the number inside the square root is [tex]\(-20\)[/tex], which means the square root itself is not applicable in the real number system.
In conclusion, the calculation itself yields [tex]\(-20\)[/tex], indicating a possible error in the context of the question referring to synthetic division specifically. Thus, among the choices for the remainder of a synthetic division problem, the question doesn't fit traditional expectations based directly on the presented content.
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