If p(x) is a polynomial of degree 3 which satisfies p^ (1)=0 and p^ (1)=6 , then p^ (0) is equal to

Step-by-step solution

p(x) is a polynomial of degree 3. aligned & Let p(x)=a x^3+b x^2+c x+d & p^ (x)=3 a x^2+2 b x+c & p^ (x)=6 a x+2 b & p^ (x)=6 a & p^ ( l )=0 and p^ ( l )=6 & aligned 6 a+2 b=0 ...(i) 6 a=6 a=1 From Eq. (i), we get aligned 6 1+2 b & =0 2 b & =-6 b=-3 p^ (0) & =6 a(0)+2 b & =0+2(-3)=-6 aligned