MP Board · Class 9 · Mathematics · PolynomialsThe factors of $x^2 - 9$ are:
Step-by-Step Solution
Using identity $a^2 - b^2 = (a - b)(a + b)$: $$x^2 - 9 = x^2 - 3^2 = (x - 3)(x + 3)$$
Detailed Options Breakdown
Option : $(x - 3)^2$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
Option 1: $(x + 3)^2$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Polynomials.
Option 2: $(x - 3)(x + 3)$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: $(x - 9)(x + 1)$
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.