Question

Factor x^2 + 9 with any method

Answer 1

ANSWER

x = + - 3i

EXPLANATION

Given:

x^2 + 9

Factorize the expression

Note: The expression cannot be factored.

$\begin{gathered} x^2+9=0 \\ x^2\text{ = -9} \\ x\text{ = }\pm\sqrt{-9} \\ x=\pm\sqrt{9(-1)} \\ recall:\text{ i}^2\text{ = -1} \\ x\text{ = }\pm\sqrt{9i^2} \\ x\text{ = }\pm3i \end{gathered}$

Hence, the expression x^2 + 9 cannot be factored