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In the general case, this is quite tricky. In high school, you learn some simple cases. If the polynomial is of degree 2, you can use the quadratic function. For higher degrees, in some specific cases you can use the methods taught in high school to factor the polynomial. As you might know, once the polynomial is completely factored, it is quite trivial to find the zeros. But in the general case, you need some iterative method, which is more appropriate for a computer. From Wikipedia, article "Polynomial": "Numerical approximations of roots of polynomial equations in one unknown is easily done on a computer by the Jenkins-Traub method, Laguerre's method, Durand-Kerner method or by some other root-finding algorithm." You can read about any of these methods for more information; but don't expect a formula where you just "plug in some numbers"; rather, those are iterative methods, that is, you need to repeat a certain calculation over and over until you get a root of a polynomial with the desired accuracy.
Darion Mohr
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How do you graph a polynomial in order to solve for the Zeros?
Either graph the polynomial on graph paper manually or on a graphing calculator. If it is a "y=" polynomial, then the zeroes are the points or point where the polynomial touches the x-axis. If it is an "x=" polynomial, then the zeroes are the points or point where the polynomial touches the y-axis. If it touches neither, then it has no zeroes.
How do you determine the x-intercepts of the polynomial function?
set the values of the y equal to zero
Can the exponents in a polynomial function be negative?
No. It would not be a polynomial function then.
How can the word ''calculate'' be used in a sentence?
I was told to calculate the zeroes for a complex polynomial.
A polynomial function is always continuous?
Yes, a polynomial function is always continuous
Is it always true that the zeros of the derivative and the zeros of the polynomial always alternate in location along the horizontal axis?
A zero of the derivative will always appear between two zeroes of the polynomial. However, they do not always alternate. Sometimes two or more zeroes of the derivative will occur between two zeroes of a polynomial. This is often seen with quartic or quintic polynomials (polynomials with the highest exponent of 4th or 5th power).
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?
What is the difference between rational and polynomials?
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.
How do you find the values of the polynomial function?
That all depends on the meaning of the context. If you want to determine the values of the polynomial function, then you need to substitute the value for the input variable of the function. Finally, evaluate it. For instance: f(x) = x + 2 If x = 2, then f(2) = 2 + 2 = 4.
Is an absolute value function a polynomial function?
No it is not
