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Find All Complex Zeros of the Polynomial Function, and Write f(x)=x3+7x2+20x+14f ( x ) = x ^ { 3 } + 7 x ^ { 2 } + 20 x + 14

Question 26

Multiple Choice

Find all complex zeros of the polynomial function, and write the polynomial in completely factored form.
- f(x) =x3+7x2+20x+14f ( x ) = x ^ { 3 } + 7 x ^ { 2 } + 20 x + 14


A) f(x) =(x+1) (x+3+i5) (x+3i5) f ( x ) = ( x + 1 ) ( x + 3 + i \sqrt { 5 } ) ( x + 3 - i \sqrt { 5 } )
B) f(x) =(x+1) (x+3+i5) (x3i5) f ( x ) = ( x + 1 ) ( x + 3 + i \sqrt { 5 } ) ( x - 3 - i \sqrt { 5 } )
C) f(x) =(x1) (x+5+3i) (x53i) f ( x ) = ( x - 1 ) ( x + 5 + 3 i ) ( x - 5 - 3 i )
D) f(x) =(x1) (x+5+3i) (x+53i) f ( x ) = ( x - 1 ) ( x + 5 + 3 i ) ( x + 5 - 3 i )

Correct Answer:

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