Question

What is a polynomial function in standard form with the zeros 1, 2, -2, and -3?

Answer 1

I know we start by doing (x-1)(x-2)(x+2)(x+3)

Answer 2

the one that looks like
\[\large (x-1)(x-2)(x+2)(x+3)\] after you multiply out

Answer 3

i would start with
\[(x-2)(x+2)=x^2-4\]

Answer 4

I don't know how to multiply it out... That is where I get confused.

Answer 5

then
\[(x-1)(x+3)=x^2+3x-x-3=x^2+2x-3\] and finally multiply
\[(x^2-4)(x^2+2x-3)\]

Answer 6

course you can do them in any order you like, but that is what i think would be easiest
want to see what is really easiest??

Answer 7

Sure!

Answer 8

http://www.wolframalpha.com/input/?i=%28x-1%29%28x-2%29%28x%2B2%29%28x%2B3%29

Answer 9

Ohhh, I get it now! I got as far as x^4+2x^3, but then I got confused but I get it now. Thank you!