Factor the polynomial expression 4x2 +9.

Step-by-step explanation:

Factor it by first setting it equal to 0:

Now subtract 9 from both sides:

Divide both sides by 4:

Then take the square root of both sides:

x = ± , which of course is not allowed. Therefore, we have to allow for the imaginary numbers in this solution. Knowing that,

x = ± is an equivalent radicand, we can now replace -1 with its imaginary counterpart:

x = ±

Each one of the elements in the radicand are perfect squares, so we simplify as follows:

x = ±

And there you go!