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Two Questions Regarding Polynomial Functions.
algebra-precalculus
I am studying Polynomial functions and their Graphs.
I am currently looking at the definition for a polynomial function and I am trying to arrive at a deeper understanding; thus, please excuse questions that seem obvious.
Nonetheless,
A polynomial function of degree n (What is n, a arbitrary variable chosen?) is a function of the form:
P(x)=anxn+an−1xn−1+…+a1x+a0
where n is a nonnegative integer and an does not equal 0.
The numbers a0, a1, a2, …, an are called the coefficients of the polynomial.
The number a0 is the constant coefficient or constant term.
The number an, the coefficient of the highest power, is the leading coefficient, and the term anxn is the leading term.
Questions:
1) What do the subscripts indicate, such as n?
2) In algebra, I learned that constants are for example 1,2,3,4; however, they describe constants as constant coefficients in the book. Can someone explain the reason behind that?
As you can see, I am new to learning mathematics, so please be simple.