As, given equation is,
[tex]4x^2+27[/tex]Now just take the options one by one .we will simply do the product and we will see which option will give us the equation
[tex]4x^2+27[/tex]Lets take 1st option which is,
[tex](2x+3\sqrt[]{3}i)(2x-3\sqrt[]{3}i)[/tex]i is complex number here.
Now the product is