how do i complete the square when the coefficient of x is more than 1?

i can manage fine when the coefficient of x is 1 but when it becomes more than that i start to struggle e.g. 4x etc.
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1 Answer

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4x^2+12x+9

you need to find a and b such that

ab=4*9=36  and  a+b=12

Here a=b=6  works

4x^2+6x+6x+9

=2x(2x+3) +3(2x+3)

=(2x+3)(2x+3)

=(2x+3)^2
by Level 8 User (32.3k points)

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