F (X) = X^2 (X+4) ^3 (X-1)

What are the instructions for this problem?

Note that this problem involves "order of operations" rules.

We must do exponentiation first, then mult. or div., and add'n. or subtr. last.

If we follow this rule strictly, then we expand the polynomial as follows:

f (x) = x^2 times (x+4) ^3 times (x-1)

and this comes out to

x^2 * [1x^3 + (3) (4) x^2 + 3 (4^2) * x + 1 (4^3) ]

or x^2 times [x^3 + 12x^2 + 48x + 64] times [x+1]

Can you finish the algebra? Group y our terms in descending order by power of x.