# Coefficients 4445

Find all triplets

$P(x)=a∗x_{2}+b∗x+c$

with the integer coefficients a, b, and c to which it applies

P (1)

$P(x)=a∗x_{2}+b∗x+c$

with the integer coefficients a, b, and c to which it applies

P (1)

while

((P (1))^{2} + ((P (2))^{2} + ((P (3))^{2} = 22.

## Correct answer:

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