Question

find the hcf of 1)x4-2x2+1 and x4-2x2+2x3+2x-1

Answer 1

x2 + 2x – 15                     &                x2 – 7x + 12  = x2 + 5x – 3x – 15                            = x2 – 4x – 3x – 12  = x (x + 5) – 3 (x + 5)                       = x (x – 4) – 3 (x – 4)  =(x + 5) (x – 3)                                 = (x – 4) (x – 3)  HCF = (x – 3)