True or False? A remainder of 1 or more in the process of doing synthetic division tells you that you have found a root of the polynomial function and a factor of the polynomial.

Question

Jacobson

Mathematics

27 May, 00:09

True or False? A remainder of 1 or more in the process of doing synthetic division tells you that you have found a root of the polynomial function and a factor of the polynomial.

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Answers (2)

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Salvador Rivera · Answer 1

False

Step-by-step explanation:

If the value is a root of the polynomial, then the remainder will be 0. This means that the root as a factor will multiply to make the polynomial.

Ray · Answer 2

The given statement is False.

Step-by-step explanation:

Given statement: A remainder of 1 or more in the process of doing synthetic division tells you that you have found a root of the polynomial function and a factor of the polynomial.

In the synthetic division, if a polynomial p (x) completely divided by a number c (remainder is 0), then (x-c) is a factor of f (x) and c is a root of the polynomial p (x).

It means only remainder of 0 in the process of doing synthetic division tells you that you have found a root of the polynomial function and a factor of the polynomial.

Therefore the given statement is False.