TMUA Practice Question — Worked Solution

P2·Algebra & Surds·7.0Mock 0 · P2 · Q14

necessary and sufficientinteger-valued polynomialquadraticcounterexampletriangular numbers

The function

f

is given by

f (x) = a x^{2} + b x + c,

where

a

b

and

c

are real constants, not necessarily integers.Which one of the following is a necessary and sufficient condition for

f (n)

to be an integer for every integer

n

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