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Is it possible that the polynomial function doesn't have zeros?
In the real domain, yes. In the complex domain, no.
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.
What is the difference between a power functions and a polynomial functions?
A power function is of the form xa where a is a real number. A polynomial function is of the form anxn + an-1xn-1 + ... + a1x + a0 for some positive integer n, and all the ai are real constants.
When finding domain of a polynomial function is negative infinity to infinity the same as all real numbers?
Yes, that's the same thing.
Why the graph of a polynomial function with real coefficients must have a y-intercept but may have no x-intercept?
For a polynomial of the form y = p(x) (i.e., some polynomial function of x), having a y-intercept simply means that the polynomial is defined for x = 0 - and a polynomial is defined for any value of "x". As for the x-intercept: from left to right, a polynomial of even degree may come down, not quite reach zero, and then go back up again. A simple example is y = x2 + 1. Why is the situation for "x" and for "y" different? Well, the original equation is a polynomial in "x"; but if you solve for "x", you don't get a polynomial in "y".
What are some real life Applications of Polynomial Functions?
That depends on what you mean with "real-life". You won't need polynomial functions to sell stuff at a supermarket, or to cut off a dead branch from your tree... but if you work in science and engineering, you will need some really advanced math - much more than a simple polynomial function.
Is it possible that the polynomial function doesn't have zeros?
In the real domain, yes. In the complex domain, no.
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.
What is the difference between a power functions and a polynomial functions?
A power function is of the form xa where a is a real number. A polynomial function is of the form anxn + an-1xn-1 + ... + a1x + a0 for some positive integer n, and all the ai are real constants.
Do vampires exist in real life today?
No, In real life days vampired no not exist
What are some examples in real life in which you might use polynomial division?
niga
Does Nods limbs exist in real life?
nods limbs doesn't exist in real life!!
Does Sonadow exist in real life?
No, all Sonic characters are fictional, and don't exist in real life.
Is it true that the degree of polynomial function determine the number of real roots?
Sort of... but not entirely. Assuming the polynomial's coefficients are real, the polynomial either has as many real roots as its degree, or an even number less. Thus, a polynomial of degree 4 can have 4, 2, or 0 real roots; while a polynomial of degree 5 has either 5, 3, or 1 real roots. So, polynomial of odd degree (with real coefficients) will always have at least one real root. For a polynomial of even degree, this is not guaranteed. (In case you are interested about the reason for the rule stated above: this is related to the fact that any complex roots in such a polynomial occur in conjugate pairs; for example: if 5 + 2i is a root, then 5 - 2i is also a root.)
What is a movie gun?
Either one made to function with blanks only or something made up that doesn't exist in real life.
Why does every polynomial have a real root?
1+x2 is a polynomial and doesn't have a real root.
Who is a real wizard?
Wizards do not exist in real life.
