Question

If x ─1 is a factor of 2x³+x² ─ 4x +m , find m

Answer 1

Since x-1 is a factor than
(X-1) •(someting ) =2x^3 +x^2 -4x+m=0
X-1=0 so x=1
Substitute in the equation
2•1+1-4+m=0
-3+m=0
m=3