SOLUTION: Is the following equation identified as a power function, a polynomial function or neither? f (x) = 2x(x + 2)(x − 1)2

Algebra ->  Rational-functions -> SOLUTION: Is the following equation identified as a power function, a polynomial function or neither? f (x) = 2x(x + 2)(x − 1)2      Log On


   

Question 1136626: Is the following equation identified as a power function, a polynomial function or neither?
f (x) = 2x(x + 2)(x − 1)2
Found 2 solutions by Theo, ikleyn:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
it looks like a polynomial function to me.

a power function is of the form y = a * x ^ b

this doesn't fit that form.

if you multiply the factors, you get 2x^4 - 6x^2 + 4x.

that has the form of a polynomial.




Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

A product of polynomial functions is ALWAYS a polynomial function.

Therefore, when you see a product of polynomial functions (as in this case) - it is a polynomial function.

You even do not need to open parentheses and/or make FOIL to state it !