Question

What is the complete factorization of the polynomial below?

Answer 1

$x^3 + 3x^2 + 9x + 27 \\ \rightarrow ( {x}^{3} + 3 {x}^{2}) +( 9x + 27) \\ \rightarrow {x}^{2} (x + 3) + 9(x + 3) \\ \rightarrow ( {x}^{2} + 9)(x + 3)$

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Answer 2

Answer:

$\displaystyle (x + 3)(x^2 + 9)$

Step-by-step explanation:

$\displaystyle x^3 + 3x^2 + 9x + 27 \hookrightarrow x^2(x + 3)\:9(x + 3) \\ \\ \boxed{(x^2 + 9)(x + 3)}$

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