- #1
anemone
Gold Member
MHB
POTW Director
- 3,883
- 115
Let ##a,\,b,\,c## and ##d## be any four real numbers but not all equal to zero.
Prove that the roots of the polynomial ##f(x)=x^6+ax^3+bx^2+cx+d## cannot all be real.
Prove that the roots of the polynomial ##f(x)=x^6+ax^3+bx^2+cx+d## cannot all be real.