Question

Liczba - 1 jest k-krotnym pierwiastkiem wielomianu W(x)=(x²-1)(x²+2x+1)(x³+1)(x²+1) zatem:

a) k=3
b) k =4
c)k=5
d)k=6

Answer 1

A)
W(3)=(3²-1)(3²+2*3+1)(3³+1)(3²+1)
W(3)=8*(9+6+1)*28*10= 8*16*28*10
W(3)=35840

b)
W(4)=(4²-1)(4²+2*4+1)(4³+1)(4²+1)
W(4)=15*(16+9)*175*9=15*25*175*9
W(4)=590625

c)
W(5)=(5²-1)(5²+2*5+1)(5³+1)(5²+1)
W(5)=24*36*126*26
W(5)= 2830464

d)
W(6)=(6²-1)(6²+2*6+1)(6³+1)(6²+1)
W(6)=35*49*216*37
W(6)=13706280