Respuesta :
The statement 'A remainder of zero 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' is True.
What is a polynomial?
"It is a mathematical expression consisting of variables, constants, and the mathematical operations of addition, subtraction, multiplication"
What is synthetic division?
"It is a method for dividing a polynomial by another polynomial."
What are roots of the polynomial?
"These are the values of a variable for which the given polynomial is equal to zero."
What is factor of the polynomial?
"The factor of polynomial P(x) is any polynomial which divides evenly into P(x)."
For given question,
When the remainder is zero tells you that you have found a root of the polynomial function and a factor of the polynomial.
The quotient of the division would tells you the one of the factor of the given polynomial.
We know, dividend = divisor × quotient + remainder
When remainder = 0
dividend = divisor × quotient
So, it would tells you about the root of the polynomial function and a factor of the polynomial.
Therefore, the statement 'A remainder of zero 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' is True.
Learn more about synthetic division here:
https://brainly.com/question/11850611
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