what should be taken away from $3 x^{2} + 4 x + 1$ to get $2 x^{2} - 4 x + 35$ ?

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Solution

$3 x^{2} + 4 x + 1 - (2 x^{2} - 4 x + 35) = x^{2} + 8 x - 34$

Hence, $x^{2} + 8 x - 34$ should be taken away from $3 x^{2} + 4 x + 1$ to get
$(2 x^{2} - 4 x + 35)$

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