Question

Factor x^2 + 9 with any method

Answer 1

x = + - 3i

Step-by-step 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√(-9) \\ x=\pm√(9(-1)) \\ recall:\text{ i}^2\text{ = -1} \\ x\text{ = }\pm√(9i^2) \\ x\text{ = }\pm3i \end{gathered}`

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