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A value of the variable that makes the polynomial equal to zero (apex)

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Q: What is a root of a polynomial function?
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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?

true


Can you have quadratic function with one real root and are complex root?

Yes, but in this case, the coefficients of the polynomial can not all be real.


When 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.?

The statement is not true.


What is the number which when substituted in a polynomial makes its value zero?

A root.


What is a root in a polynomial graph?

A root is the value of the variable (usually, x) for which the polynomial is zero. Equivalently, a root is an x-value at which the graph crosses the x-axis.


Can the exponents in a polynomial function be negative?

No. It would not be a polynomial function then.


Why does every polynomial have a real root?

1+x2 is a polynomial and doesn't have a real root.


What is the root of a problem?

If you mean a math problem, "root" is another word for "solution".The "root" of a polynomial in "x" is any value for "x" which will set the polynomial equal to zero, when evaluated.If you mean a math problem, "root" is another word for "solution".The "root" of a polynomial in "x" is any value for "x" which will set the polynomial equal to zero, when evaluated.If you mean a math problem, "root" is another word for "solution".The "root" of a polynomial in "x" is any value for "x" which will set the polynomial equal to zero, when evaluated.If you mean a math problem, "root" is another word for "solution".The "root" of a polynomial in "x" is any value for "x" which will set the polynomial equal to zero, when evaluated.


A polynomial function is always continuous?

Yes, a polynomial function is always continuous


How does my knowledge of polynomial function prepare me to understand rational function?

A rational function is the quotient of two polynomial functions.


How is a rational function the ratio 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".


Example of fundamental difference between a polynomial function and an exponential function?

fundamental difference between a polynomial function and an exponential function?