Question

Find the value of 'a' and 'b' so that x4 + x3+8x^ + ax + b is divisible by x^+1

Answer 1

 write x^2 + 1 as x^2 + 0*x +1;dividing by Euclid’s lemma, we get the remainder as (a-1)x + (b-7);this has to be zero;it is the case where
a=1 and b=7