Write a linear factorization of the function.
-$$f ( x ) = x ^ { 4 } + 25 x ^ { 2 }$$
A) $f ( x ) = x ^ { 2 } ( 5 x + i ) ^ { 2 }$
B) $f ( x ) = x ^ { 2 } ( 5 x + i ) ( 5 x - i )$
C) $f ( x ) = x ^ { 2 } ( x + 5 i ) ^ { 2 }$
D) $f ( x ) = x ^ { 2 } ( x + 5 i ) ( x - 5 i )$

Question

Quizplus · Accepted Answer

The given function can be factored as $f(x) = x^2(x^2 + 25)$, which can further be factored using the difference of squares formula, leading to $f(x) = x^2(x + 5i)(x - 5i)$.

Write a Linear Factorization of the Function f(x)=x4+25x2f ( x ) = x ^ { 4 } + 25 x ^ { 2 }f(x)=x4+25x2

Write a Linear Factorization of the Function $f ( x ) = x ^ { 4 } + 25 x ^ { 2 }$