- #1
anemone
Gold Member
MHB
POTW Director
- 3,883
- 115
Let $a,\,b,\,c,\,d,\,e,\,f$ be real numbers such that the polynomial $P(x)=x^8-4x^7+7x^6+ax^5+bx^4+cx^3+dx^2+ex+f$ factorizes into eight linear factors $x-x_i$ with $x_i>0$ for $i=1,\,2,\,\cdots,\,8$.
Determine all possible values of $f$.
Determine all possible values of $f$.