How would I factor the following polynomial and show all of the work?
4x to the second power + 81 - 36x

4x^2 -36x + 81

Note that 81 is a perfect square, and so is 4. Calculate their square roots and use those numbers as possible factor coefficients.

Note the signs of the three coefficients in the equation (+, -, +). Because the middle coefficient is negative and the other coefficients are positive, you'll have to factor like this:

(ax-b)(cx-d) where b d = 81 and a c = 4. Note that b and d may be the same number and a and c may be the same number.

also, you have to select these coefficients in such a way that ad + bc = -36.

Think about it. The solution is pretty easy.