Factor completely 4x^4 - 24x^3 + 36x^2

4x^2(x-3)^2 the will be the answer if you factor it

4x^2 (x-3)^2

Step-by-step explanation:

Original expression:  4x^4 - 24x^3 + 36x^2

So looking at this we see that there are a few things we have in common among all the terms in this expression

1. They all have at least a value of x^2

2. They are all multiples of 4

Knowing this we can begin to factor and pull out an x^2 term

x^2 (4x^2 - 24x + 36)

Then we can factor out the 4

4x^2 (x^2 - 6x + 9)

Now we have reached a quadratic, and in this case we can also factor this quadratic:

We need a number that when multiplied will give positive nine and add to -6 so we can do -3 and -3 to fix these specifications:

4x^2 ((x-3)(x-3)) or 4x^2 (x-3)^2

answer:

your answer is: c. 196 7/8 in^3.