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what is polynomial in one variable?

A polynomial of the form Px = p0+p1x+p2x2+...pnxn where p0, p1, p2, ...pn are called the numbers and x, x2, ...xn are called variables is known as the polynomial in one variable.
Suppose we have a polynomial ax+b, where a and b are the numbers and x is the variable is called as first degree polynomial.

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it can be defined as follows p(x)= p0+p1x+......+pnx^n where p,p1 ... are constants

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A polynomial P in one variable x is formally defined as a follows

P(x) = p0 + p1x + ... + pnxn where the pi are constants. If n = 0 we identify the polynomial with the constant p0. If pn 0 then we say the polynomial has degree n. If pn = 0 then we drop the corresponding term unless n = 0; the degree of the constant polynomial 0 is considered undefined.
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