Find all real numbers $p$ so that
\[x^4 + 2px^3 + x^2 + 2px + 1 = 0\]has at least two distinct negative real roots.
Question:
Find all real numbers $p$ so that
\[x^4 + 2px^3 + x^2 + 2px + 1 = 0\]has at least two distinct negative real roots.
Answer:
Let's think step by step.

user
\left( \frac{3}{4}, \infty \right)
Find all real numbers $p$ so that
\[x^4 + 2px^3 + x^2 + 2px + 1 = 0\]has at least two distinct negative real roots.
train