Polynomial Division Given a Remainder

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to so that the remainder when dividing the two is 14.

Hint

Is there a way to find the remainder without using long or synthetic division?

Answer

Two possible answers: (4x^2+7x+3)/(x-1) or (1x^2+3x+4)/(x-2) among others.

Source: Kyle Prince

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