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Why do some people use subtraction for synthetic instead of addition?

Reddit r/learnmath·u/Human_Young704·6 days ago
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I’m taking a math 30 course currently and I’m studying for my test on polynomial functions. In my class whenever doing a question involving synthetic division, we use subtraction between the coefficients and multiplied numbers. I watched some videos about synthetic division online and almost all of them use addition instead. Why is this? Is it a matter of school systems? I’m so confused