MP Board · Class 9 · Mathematics · PolynomialsThe remainder when $x^3 + 1$ is divided by $x + 1$ is:
Step-by-Step Solution
By Remainder Theorem, the remainder when $p(x) = x^3 + 1$ is divided by $x + 1$ (i.e. $x - (-1)$) is $p(-1)$. $$p(-1) = (-1)^3 + 1 = -1 + 1 = 0$$
Detailed Options Breakdown
Option : 0 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: 1
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
Option 2: -1
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
Option 3: 2
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.