SOLUTION: Find all zeros of the function and write the polynomial as a product of linear factors. f(x)=x^3-x^2+16x-16

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Question 849104: Find all zeros of the function and write the polynomial as a product of linear factors.
f(x)=x^3-x^2+16x-16

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi
f(x)=x^3-x^2+16x-16 | x = 1, one root: 1 - 1 +16 -16 = 0
Using synthetic Division
1 1 -1 16 -16

1 0 16
1 0 16 0
f(x)= (x-1)(x^2 + 16)

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