The sum of three expression is $8 + 73 x + {7 x}^{2}$ and two of then are ${2 x}^{2} + 9 x + 2$ and ${3 x}^{2} - 4 x + 1$

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Solution

$2 x^{2} + 9 x + 2 + 3 x^{2} - 4 x + 1 + p (x) = 8 + 73 x + 7 x^{2}$
$5 x^{2} + 5 x + 3 + p (x) = 7 x^{2} + 73 x + 8$
$p (x) = 7 x^{2} + 73 x + 8 - 5 x^{2} - 5 x - 3$
$p (x) = 2 x^{2} + 68 x + 5$ .

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