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Find All Zeros of the Function and Write the Polynomial f(x)=x3x2+16x16f ( x ) = x ^ { 3 } - x ^ { 2 } + 16 x - 16

Question 12

Multiple Choice

Find all zeros of the function and write the polynomial as a product of linear factors.
- f(x) =x3x2+16x16f ( x ) = x ^ { 3 } - x ^ { 2 } + 16 x - 16


A) f(x) =(x1) (x+4i) (x4i) f ( x ) = ( x - 1 ) ( x + 4 i ) ( x - 4 i )
B) f(x) =(x1) (x+1) (x+16) f ( x ) = ( x - 1 ) ( x + 1 ) ( x + 16 )
C) f(x) =(x25) (x+i) (xi) f ( x ) = ( x - 25 ) ( x + i ) ( x - i )
D) f(x) =(x1) (x+4) (x4) f ( x ) = ( x - 1 ) ( x + 4 ) ( x - 4 )

Correct Answer:

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