Question

find value of k when x+1is factor of x^2-3k+2x+1.

Answer 1

Hey there !!

P(x) = x²+2x-3k+1

x+1 is a factor of P(x) 

⇒⇒⇒ x= -1 is a root of P(x) 

So substituting x= -1 in P(x) 

P(x) = x²+2x-3k+1

P(-1) = 1-2-3k+1 =0

         = 2-2-3k=0

          -3k=0
         
             k=0.

Hope this helps you ........