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

Question

Quizplus · Accepted Answer

The correct factorization involves complex numbers since the quadratic has no real roots. The roots are $x = \pm i\sqrt{3}$, leading to the factorization $f(x) = (x + i\sqrt{3})(x - i\sqrt{3})$.

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

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