Question

find the value of A and B so that p(k) =k⁴+ak³+2k²-3j+b is divisible by g(k)=k²-1​

Answer 1

Since the given polynomial is exactly divisible by x

2

−5x+6=(x−2)(x−3) , it should be exactly divisible by x−2 and x−3 as well.

∴ By remainder theorem, at x=2;16−24+20−66+b=0⇒b=54