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Math Arguments

Math Arguments

Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.

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Item 741

Functions with Integer Inputs.

A polynomial with integer coefficients, as a function, produces an integer output for every integer input.

I wonder: if a polynomial as a function *does* produce an integer output for every integer input, *must* its coefficients be integers?


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Number Theory
David Butler
PRE-CALC

Source: David Butler
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