Write a linear factorization of the function.
-$$f ( x ) = 9 x ^ { 3 } + 9 x$$
A) $f ( x ) = 9 x ( x + i ) ^ { 2 }$
B) $f ( x ) = x ( x + 9 i ) ( x - i )$
C) $f ( x ) = 9 x ( x + 1 ) ^ { 2 }$
D) $f ( x ) = 9 x ( x + i ) ( x - i )$

Question

Quizplus · Accepted Answer

The function $f(x) = 9x^3 + 9x$ can be factored as $9x(x^2 + 1)$, which further factors into $9x(x + i)(x - i)$, using the fact that $x^2 + 1 = (x + i)(x - i)$.

Write a Linear Factorization of the Function f(x)=9x3+9xf ( x ) = 9 x ^ { 3 } + 9 xf(x)=9x3+9x

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