yes.
In which case that term is typically skipped.
f(x) = 3*x^4 + 7*x^2 - x + 15
In this case the coefficient of the x^3 term is zero and the term was skipped.
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Anywhere. Provided it is not zero, and number p can be the leading coefficient of a polynomial. And any number q can be the constant term.
coefficient
It is the Coefficient. It only refers to the given term that it is front. e.g. 2x^2 - 3x + 1 The '2' in front of 'x^2' only refers to 'x^2'. The '-3' in front of 'x' is the coefficient of '-3' The '1' is a constant.
Yes.
It is the number (coefficient) that belongs to the variable of the highest degree in a polynomial.