MP Board · Class 9 · Mathematics · PolynomialsAccording to the Remainder Theorem, if p(x) is any polynomial of degree greater than or equal to 1 and p(x) is divided by the linear polynomial x - a, then the remainder is:
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Total Attempts: 3
Accuracy Rate: 66.7%
Step-by-Step Solution
The Remainder Theorem states that if p(x) is divided by (x - a), the remainder is equal to the value of the polynomial at x = a, which is p(a).
Detailed Options Breakdown
Option : p(0)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
Option 1: p(a) (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: p(-a)
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
Option 3: 0
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
💡 Study Guide: This question tests core syllabus concepts from Polynomials. For formulas, key summaries, and mock exam reference guides, read the full Polynomials Revision Notes.