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

let p(x)= (A0) + (A1)x^(2) + (A2)x^(4) +...................... .........+(An)x^(2n)   be a polynomial in a real variable x with 0

(a)niether a maximum nor a minimum


(b)only one maximum


(c)only one minimum


(d)none of these

Grade:

1 Answers

Puneet Mittal AskiitiansExpert-IITD
22 Points
10 years ago

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

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