Find the number that is to be added to $x^{2} + 12 x$ to make it a perfect square.
36

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Solution

The correct option is A 36
To make $x^{2} + 12 x$ a perfect square, divide the coefficient of x by 2 and the add the square of the result to make this a perfect square.
Hence $\frac{12}{2} = 6$ and $6^{2} = 36.$
$\Rightarrow$ We should add 36 to make $x^{2} + 12 x$ a perfect square.

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