Problem: The sum of all the roots of 4x3−8x2−63x−9=04 x^{3}-8 x^{2}-63 x-9=04x3−8x2−63x−9=0 is:
Answer Choices:
A. 888
B. 222
C. −8-8−8
D. −2-2−2
E. 000 Solution:
S=−(−8/4)=2S=-(-8 / 4)=2S=−(−8/4)=2;
or
find one root, -3 , by trial. The reduced equation is 4x2−20x−3=04 x^{2}-20 x-3=04x2−20x−3=0, where the sum of the roots is 5.∴S=5−3=25 . \quad \therefore S=5-3=25.∴S=5−3=2.