Question

How do you factor `36x ^ { 4} - 27x ^ { 3} + 45x ^ { 2}`?

Answer 1

`9x^2(4x^2-3x+5)`

Explanation:

To factor out the problem we need to figure out the factor of `35,-27, and 45`.

`9` is our magic number, we also need to factor out `x` to do this we get the smallest amount of `x` that is available which is `x^2`.

So, our factor is `9x^2`.

`9x^2(4x^2-3x+5)` is the answer. To check this you can distribute it out and you will arrive to the original problem.