In synthetic division, if the degree of the dividend polynomial is 5, then the degree of the quotient will be .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of the degree preservation property in synthetic division, specifically how the degree of the quotient relates to the degree of the dividend polynomial.
Key Concept Explanation
In synthetic division, the degree of the quotient is one less than the degree of the dividend polynomial. This is because the division process reduces the degree of the polynomial by one.
Step-by-step Solution
1. Identify the degree of the dividend polynomial: 5.
2. The degree of the quotient is one less than the degree of the dividend polynomial:
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