Question

Rozłóż wielomian :

x^4-7x^2-8
daje naj

Answer 1

Answer 2

x^4-7x^2-8=
x⁴ -7x² -8 =
x⁴ -8x²+x²-8 =
x²(x²-8) +(x²-8)=
x²(x²-8) +1(x²-8)=
(x²+1)(x²-8)=
(x²+1)(x² -√8²)=
(x²+1)(x-√8)(x+√8)=                         √8 = √4*√2=2√2
(x²+1)(x-2√2)(x+2√2)