Find all integer values of $a$ so that the polynomial
\[x^3 + 3x^2 + ax + 7 = 0\]has at least one integer root.  Enter all possible values of $a,$ separated by commas.
Question:
Find all integer values of $a$ so that the polynomial
\[x^3 + 3x^2 + ax + 7 = 0\]has at least one integer root.  Enter all possible values of $a,$ separated by commas.
Answer:
Let's think step by step.

user
-71, -27, -11, 9
Find all integer values of $a$ so that the polynomial
\[x^3 + 3x^2 + ax + 7 = 0\]has at least one integer root.  Enter all possible values of $a,$ separated by commas.
train