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 2 years ago
Find a polynomial f(x) of degree 3 that has the following zeros:
9,2,0
Leave your answer in factored form.
 2 years ago
Find a polynomial f(x) of degree 3 that has the following zeros: 9,2,0 Leave your answer in factored form.

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mathmate
 2 years ago
Best ResponseYou've already chosen the best response.0If a 3rd degree polynomial has three known roots x1,x2,x3, then the factored form is: a(xx1)(xx2)(xx3)=0 where a is an arbitrary constant.

GingerSnapz
 2 years ago
Best ResponseYou've already chosen the best response.0So in this case, x(x+9)(x2) ?

phi
 2 years ago
Best ResponseYou've already chosen the best response.0remember, zeros mean when x= 9 , x= 2 and x=0 then the polynomial is 0 if you rearrange these 3 equations you get x+9=0 x2=0 x=0 when you multiply them together you get x(x2)(x+9) = (obviously) 0 you could also multiply by some number a, and it will still be 0 a x (x2) (x+9) = 0

phi
 2 years ago
Best ResponseYou've already chosen the best response.0for this question, leave a=1 for the simplest form. But you could pick any a you want (except a=0)

GingerSnapz
 2 years ago
Best ResponseYou've already chosen the best response.0Thanks for the help.
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