$P(x)$ and $Q(x)$ are non-constant polynomials, and $R(x)$ is a first-degree polynomial, where $$P(x) = Q(x) \cdot R(x)$$ the equality is satisfied. Accordingly, I. The constant terms of polynomials $P(x)$ and $R(x)$ are the same. II. If the graph of $P(x)$ is a parabola, then the graph of $Q(x)$ is a line. III. Every root of polynomial $Q(x)$ is also a root of polynomial $R(x)$. Which of the following statements are always true? A) Only II B) Only III C) I and II D) I and III E) II and III
$P(x)$ and $Q(x)$ are non-constant polynomials, and $R(x)$ is a first-degree polynomial, where
$$P(x) = Q(x) \cdot R(x)$$
the equality is satisfied.
Accordingly,\\
I. The constant terms of polynomials $P(x)$ and $R(x)$ are the same.\\
II. If the graph of $P(x)$ is a parabola, then the graph of $Q(x)$ is a line.\\
III. Every root of polynomial $Q(x)$ is also a root of polynomial $R(x)$.\\
Which of the following statements are always true?\\
A) Only II\\
B) Only III\\
C) I and II\\
D) I and III\\
E) II and III