Question
$(x + 1)$ is a factor of the polynomial.
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Answer
$x^3 + x^2 + x + 1 = x^3 (x + 1) + 1(x + 3) = x^3 + 27 9x^2 + 27x = x^3 + 9x^2 + 27x + 27$
therefore, the coefficient of $x,$ in the expansion of $(x + 3)^3 $ is $27.$
therefore, the coefficient of $x,$ in the expansion of $(x + 3)^3 $ is $27.$
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