Ans: (a) (b) Yes
- According to the division algorithm, let
, where and are the real constants.Since
is divisible by , by the factor theorem, we have - Since
is a factor of , by the factor theorem, we haveSince the remainder is
when is divided by , then by the remainder theorem, we haveSub.
into , we haveHence, we have
Therefore, the roots are
, and , which are all integers.Hence, the claim is correct.