0Question:
F(x) is a fourth order polynomial with integer coff 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) 180 c) 240 d) 360 e) 720
Answer:
Method 1:
(x+2)(x+1)(x-1)(x-2)
x = 101 put
103*102 * 100*99. Largest integer hence = 360
All values of p, so 1st prime number after 97 consider it.
Method 2:
Every prime number can be expressed in 6k+-1 form.
