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Step-by-step explanation:
[tex] = 3 {x}^{2} + 10x + 3[/tex]
[tex] = 3 {x}^{2} + 9x + x + 3[/tex]
[tex] = 3x(x + 3) + 1.(x + 3)[/tex]
[tex] = (x + 3)(3x + 1)[/tex]
[tex] = (3x + 1)(x + 3)[/tex]
The answer is C.