Question

x^3+8x^2=25x+200 I know that the answer is -5,5,-8 but I dont know how to come up with it.

Answer 1

if i answer correct can you give me a medal?

Answer 2

\[x^{3}+8x ^{2}-25x-200=0\]
\[(x^{3}+8x)+(-25x-200)=0\]
factor:
\[x^{2}(x+8)-25(x+8)=0\]
\[(x^{2}-25)(x+8)(x+8)=0\]
\[(x+5)(x-5)(x+8)(x+8)=0\]
(x+8) cancel now :\[(x+5)(x-5)(x+8)=0\]
x= 5
x= -5
x=-8

Answer 3

I let you look ,I be back