1.

Show that (X +2)is a factor of x³-4x²-2x+20

Answer»
Here , 
x+2 =0
then x=-2

Let's put f(x) =-2 in given equation
x³-4x²-2x+20
= f(-3)= (-2)³-4*(-2)² -2*(-2) +20
             -8-16+4+20
              -24+24
                  =0
hence ,x+2 is a factor of given polynomial f(x).





         Thank you


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