NCERT · Class 9 · Mathematics · PolynomialsIf (x - 1) is a factor of the polynomial p(x) = x^2 + x + k, then the value of k is:
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Total Attempts: 5
Accuracy Rate: 20%
Step-by-Step Solution
By the Factor Theorem, if (x - 1) is a factor of p(x), then p(1) = 0. Substituting x = 1 into p(x): (1)^2 + 1 + k = 0 => 1 + 1 + k = 0 => 2 + k = 0 => k = -2.
Detailed Options Breakdown
Option : 2
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
Option 1: -2 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 1
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
Option 3: -1
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.