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What are the zeros of the polynomial function?

 May 26, 2018
 #1
avatar+9674 
+1

f(x)=x3+x29x9f(x)=x2(x+1)9(x+1)f(x)=(x29)(x+1)f(x)=(x+3)(x+1)(x3)-3, -1 and 3 are zeros of the polynomial.

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 May 26, 2018
 #2
avatar+12530 
+1

(x^3  + x^2  - 9x  - 9) : (x + 1)  =  x^2 - 9  
 x^3  + x^2           
 ———————
             - 9x  - 9
             - 9x  - 9
             ————
                     0

 

x^2 - 9 = (x + 3) (x - 3)

 

x = -1

x = -3

x = 3

 

laugh

 May 26, 2018

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