MP Board · Class 9 · Mathematics · PolynomialsOn factorizing $x^2 - 5x + 6$, we get:
Step-by-Step Solution
Splitting the middle term: $$x^2 - 5x + 6 = x^2 - 2x - 3x + 6$$ $$= x(x - 2) - 3(x - 2) = (x - 2)(x - 3)$$
Detailed Options Breakdown
Option : $(x - 2)(x - 3)$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: $(x + 2)(x + 3)$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
Option 2: $(x - 1)(x - 6)$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
Option 3: $(x + 1)(x - 6)$
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.