One of the factors of \( \Large x^{3}+6x^{2}+11x+6 \) is

A) \( \Large \left(x-\frac{1}{2}\right) \)

B) \( \Large \left(x+\frac{1}{2}\right) \)

C) \( \Large \left(x-1\right) \)

D) \( \Large \left(x+1\right) \)

Correct answer:
D) \( \Large \left(x+1\right) \)

Description for Correct answer:

\( \Large f \left(x\right)=x^{3}+6x^{2}+11x+6 \)

But x = -1 makes \( \Large f \left(x\right)=0 \), therefore \( \Large x+1 \) must be factor of \( \Large f \left(x\right) \).



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