Write a linear factorization of the function.
-$$f ( x ) = x ^ { 3 } + 4 x ^ { 2 } + 9 x + 36$$
A) $f ( x ) = ( x + 4 i ) ( x + 3 i ) ( x - 3 i )$
B) $f ( x ) = ( x + 3 ) ( x + 4 i ) ( x - 4 i )$
C) $f ( x ) = ( x + 4 ) ( x + 3 i ) ( x - 3 i )$
D) $f ( x ) = ( x + 3 i ) ( x + 4 i ) ( x - 4 i )$

Question

Quizplus · Accepted Answer

The correct factorization is $f ( x ) = ( x + 4 ) ( x + 3 i ) ( x - 3 i )$. This can be verified by multiplying the factors together.

Write a Linear Factorization of the Function f(x)=x3+4x2+9x+36f ( x ) = x ^ { 3 } + 4 x ^ { 2 } + 9 x + 36f(x)=x3+4x2+9x+36

Write a Linear Factorization of the Function $f ( x ) = x ^ { 3 } + 4 x ^ { 2 } + 9 x + 36$