Question

please solve sum 4 please

Answer 1

if 2x+1 is a factor of 4x^3+4x^2-x-1
then x=-1/2 is the zero of this polynomial

proof:-
4(-1/2)^3+4(-1/2)^2+1/2-1
4(-1/8)+4(1/4)+1/2-1
-1/2+1+1/2-1
=0

hence,proved
Hope this helps