Ask Question
8 February, 19:29

Why does synthetic division use the opposite of the constant term in the divisor as the multiplying factor?

Using the opposite of the constant term in the divisor as the multiplying factor in synthetic division causes all answers to be positive.

The process in polynomial long division is to divide, multiply, subtract, and bring down. Using the opposite of the constant term in the divisor for synthetic division allows for addition in the columns instead of subtraction.

Synthetic division is used to obtain an answer to the division of a polynomial by a constant.

Since the synthetic division assumes that the divisor has a leading coefficient of 1, the only thing that changes the sums is the constant in the divisor.

+5
Answers (1)
  1. 8 February, 20:28
    0
    The process in polynomial long division is to divide, multiply, subtract, and bring down. Using the opposite of the constant term in the divisor for synthetic division allows for addition in the columns instead of subtraction.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Why does synthetic division use the opposite of the constant term in the divisor as the multiplying factor? Using the opposite of the ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers