Find the number of polynomials $P(x)$ of degree 4, with real coefficients, that satisfy
\[P(x^2) = P(x) P(-x).\]
Question:
Find the number of polynomials $P(x)$ of degree 4, with real coefficients, that satisfy
\[P(x^2) = P(x) P(-x).\]
Answer:
Let's think step by step.

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10
Find the number of polynomials $P(x)$ of degree 4, with real coefficients, that satisfy
\[P(x^2) = P(x) P(-x).\]
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