Question

write the general polynomial q(z) of degree n with coffients that are b0.....bn . what are conditions​

Answer 1

Answer:

,b_{0}=b_{n},

b_{1}=b_{n-1}

b_{2}=b_{n-2}

and so on.

Step-by-step explanation:

Let us assume that the n degree function be  q(z)=(1+z)^{n}.

Now this function can be expanded using binomial theorem as

(1+z)^{n}=b_{0}+b_{1}z+b_{2}z^{2}+b_{3}z^{3}+.........+b_{n-1}z^{n-1}+b_{n}z^{n} ........ (1)

Where, b_{0}, b_{1}, b_{2},,.........b_{n-1}, b_{n} ,......... are the coefficients of 1st, 2nd, 3rd,....... upto (n+1)th terms of the expansion.

The conditions for equation (1) to be valid only if n is a positive integer.

And the conditions on the coefficients are that,

b_{0}=b_{n},

b_{1}=b_{n-1}

b_{2}=b_{n-2}

and so on.

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