Concept explainers
To explain: How the Remainder Theorem and the Factor Theorem are related.
Explanation of Solution
Given information: Remainder Theorem and the Factor Theorem
Calculation:
The remainder Theorem states that if a polynomial
The Factor Theorem states that the binomial
So, the connection is practical.
If a division problem has a remainder of 0, then the divisor is a factor of the dividend.
Meaning that, if we find a value for which this remainder is zero, we can partially factorize the polynomial.
Chapter 4 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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