volume_mute
Remainder Theorem
publish date: 2026/05/23 05:12:47.320130 UTC
volume_mute
According to the Remainder Theorem, if a polynomial \(p(x)\) is divided by \((x - a)\), the remainder is:
Correct Answer
\(p(a)\)
Explanation
The Remainder Theorem states that when a polynomial \(p(x)\) is divided by a linear polynomial \((x - a)\), the remainder equals \(p(a)\). This is derived directly from the Division Algorithm for polynomials.
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012