Question 64
Let $P$, $Q$ be two polynomials with real, non-constant and first coefficients. Show that there are at most three real $\lambda$ such as: $$
P+\lambda Q=R^{2}
$$ where $R \in \mathbb{R}[X]$.
P+\lambda Q=R^{2}
$$ where $R \in \mathbb{R}[X]$.