let p(x)= (A0) + (A1)x^(2) + (A2)x^(4) +...................... .........+(An)x^(2n) be a polynomial in a real variable x with 0<A1<A2<A3<.......<An. the function p(x) has(a)niether a maximum nor a minimum(b)only one maximum(c)only one minimum(d)none of these

Hi Vikash,

It has anwer as (d) None of these.

The polynomial can have several Minimum and Maximum depending on the values and signs of A0 , A1 , A2 ....An.

You can take a polynomial where A0 , A1 and A2 etc are postive as well as negative.

by plotting some values for x u can see the result as (d)

Puneet