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Are there only 3 degree's in a polynomial equation?
No. A polynomial can have as many degrees as you like.
How many terms does the polynomial have?
As many as you like. A polynomial in 1 variable, and of degree n, can have n+1 terms where n is any positive integer.
True or false An expression must have a monomial of degree 1 or higher to be a polynomial?
False. The height of the degree does not really matter in this case. There just have to be other monomials in the problem to be considered a polynomial. "Poly" means many.
How do you find the function for a function table?
It is easy to prove that it is impossible.Given any set of n input and output values, of x and f(x) values, it is easy to prove that there is at least one polynomial of degree n-1 which will fit them. There are, therefore, infinitely many polynomials that will fit these n pairs and any additional pair of the infinitely many choices for the "next" x and f(x).It is easy to prove that it is impossible.Given any set of n input and output values, of x and f(x) values, it is easy to prove that there is at least one polynomial of degree n-1 which will fit them. There are, therefore, infinitely many polynomials that will fit these n pairs and any additional pair of the infinitely many choices for the "next" x and f(x).It is easy to prove that it is impossible.Given any set of n input and output values, of x and f(x) values, it is easy to prove that there is at least one polynomial of degree n-1 which will fit them. There are, therefore, infinitely many polynomials that will fit these n pairs and any additional pair of the infinitely many choices for the "next" x and f(x).It is easy to prove that it is impossible.Given any set of n input and output values, of x and f(x) values, it is easy to prove that there is at least one polynomial of degree n-1 which will fit them. There are, therefore, infinitely many polynomials that will fit these n pairs and any additional pair of the infinitely many choices for the "next" x and f(x).
What do you know about the most possible number of zeros for a polynomial?
A polynomial can have as many 0s as its order - the power of the highest term.A polynomial can have as many 0s as its order - the power of the highest term.A polynomial can have as many 0s as its order - the power of the highest term.A polynomial can have as many 0s as its order - the power of the highest term.
