Find all zeros of the function and write the polynomial as a product of linear factors.
-$$f ( x ) = 3 x ^ { 4 } - 7 x ^ { 3 } + 29 x ^ { 2 } - 63 x + 18$$
A) $f ( x ) = ( 3 x - 1 ) ( x - 2 ) ( x + 3 ) ( x - 3 )$
B) $f ( x ) = ( 3 x + 1 ) ( x + 2 ) ( x + 3 i ) ( x - 3 i )$
C) $f ( x ) = ( 3 x - 1 ) ( x - 2 ) ( x + 3 i ) ( x - 3 i )$
D) $f ( x ) = ( 3 x + 1 ) ( x + 2 ) ( x + 3 ) ( x - 3 )$

Question

Quizplus · Accepted Answer

The polynomial can be factored as $ (3x - 1)(x - 2)(x + 3i)(x - 3i) $, where the zeros are $ x = \frac{1}{3}, 2, 3i, -3i $.

Find All Zeros of the Function and Write the Polynomial f(x)=3x4−7x3+29x2−63x+18f ( x ) = 3 x ^ { 4 } - 7 x ^ { 3 } + 29 x ^ { 2 } - 63 x + 18f(x)=3x4−7x3+29x2−63x+18

Find All Zeros of the Function and Write the Polynomial $f ( x ) = 3 x ^ { 4 } - 7 x ^ { 3 } + 29 x ^ { 2 } - 63 x + 18$