Q: 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. A. True?

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The statement is not true.

by synthetic division and quadratic equation

That's the definition of a "rational function". You simply divide a polynomial by another polynomial. The result is called a "rational function".

A polynomial of degree 2.

An algebraic function is a function built from polynomial and combined with +,*,-,/ signs. The transcendental it is not built from polynomial like X the power of Pie plus 1. this function is transcendental because the power pi is not integer number in result it can't be a polynomial.

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The statement is not true.

by synthetic division and quadratic equation

By using the =MOD function.

No. It would not be a polynomial function then.

The remainder theorem states that if you divide a polynomial function by one of it's linier factors it's degree will be decreased by one. This theorem is often used to find the imaginary zeros of polynomial functions by reducing them to quadratics at which point they can be solved by using the quadratic formula.

Yes, a polynomial function is always continuous

A rational function is the quotient of two polynomial functions.

That's the definition of a "rational function". You simply divide a polynomial by another polynomial. The result is called a "rational function".

fundamental difference between a polynomial function and an exponential function?

A polynomial function is simply a function that is made of one or more mononomials. For example 4x^2+3x-5 A rational function is when a polynomial function is divided by another polynomial function.

No it is not

A polynomial of degree 2.