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X square +32x+240 spliting the middle term

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To factorize x^2+32 x+240, we have to find out two numbers that multiply to 240 and add to 32.

These numbers would be 12 and 20.

\begin{aligned} &x^2+12 x+20 x+240\\ &x(x+12)+20(x+12)\\ &(x+12)(x+20) \end{aligned}

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