Question Details

(solution) F (x)is a fourth order polynomial with integer coefficients and


F (x)is a fourth order polynomial with integer coefficients and with no common factor. The roots of F(x) are ?2, ?1, 1, 2. If p is a prime number greater than 97, then the largest integer that divides F(p) for all values of p is

A.72

B,120

C.240

D.360



Answer to the algebra question

 

Solution:

 

Option(D) is correct

 

Given that F(x)=(x+2)(x+1)(x?1)(x?2)

 

Putting x=P

 

, we have F(P)=(P+2)(P+1)(P?1)(P?2)

 

Since P

 

is a prime number, P is in the...

 


Solution details:

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Sep 13, 2020

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