Any binomial when multiplied with x+3, and two added to the product, would givethe required polynomial.

For example multiply x+2 with x+3 and add 2. This would give x² +5x +8. This polynomial when divided by x+2 would give a quotient x+3 and remainder 2.

Similarly multiply x² +1 with x+3 and add 2. This would give x³ +3x² +x +5. This polynomial when divided by x² +1 would give a quotient x+3 and remainder 2.

Thus there would be any number of polynomial divisions which would satisfy the given condition.

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