zeros of polynomials... help!

[igor_9000]

hey all, im newish to these forums but i thought maybe you could help. im supposed to construct a 5th degree polynomial by selecting 5 zeros. but ive got no clue where to start. how do i create such a polynomial?

[blike]

(x+3) = 0

(x+4) = 0

(x+5) = 0

(x+2) = 0

(x+1) = 0

 

x=-3,-4,-5,-2,-1

 

5th degree polynomial =

 

(x+3)(x+4)(x+5)(x+2)(x+1)

 

multiply that out, and you've got it

 

you can choose any numbers, so long as you properly multiply them out.