Let $$P(x) = x^{2025},Q(x) = x^{4} + x^{3} + 2x^{2} + x + 1$$. Let $$𝑅(𝑥)$$ be the polynomial remainder when the polynomial $$𝑃(𝑥)$$ is divided by the polynomial $$𝑄(𝑥)$$. Find $$𝑅(3)$$.

Video Solution