Question

Write a general polynomial $q\left(z\right)$ of degree n with coefficients that are
$b_0,b_1,b_2,.........b_n$ What are the conditions on
$b_0,b_1,b_2,.........b_n$.

Answer 1

Polynomial: A Polynomial is an algebraic expression in which the powers of the variables are the whole numbers.

$q\left(z\right)=b_0{z}^n+b_1{z}^{n-1}+b_2^{n-2}+........+$

is polynomial of $n^{th}$ degree.

where $b_0,b_1,b_2,.........b_{n-1},b_n$ are real numbers.

If $b_0=0$ then its degree becomes $(n-1)$.

So, $b_0\ne 0$.