NCERT · Class 8 · Mathematics · FactorisationFind the common factors of the terms: $2xy, 3x^2, 2$
Step-by-Step Solution
The terms are $2xy$, $3x^2$, and $2$. Their numerical and literal factors are: Factors of $2xy$ are $1, 2, x, y, 2x, 2y, xy, 2xy$; factors of $3x^2$ are $1, 3, x, x^2, 3x, 3x^2$; factors of $2$ are $1, 2$. The only common factor in all three terms is $1$. Therefore, the correct option is $1$.
Detailed Options Breakdown
Option : x
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Factorisation.
Option 1: 2
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Factorisation.
Option 2: 1 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: xy
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Factorisation.
💡 Study Guide: This question tests core syllabus concepts from Factorisation. For formulas, key summaries, and mock exam reference guides, read the full Factorisation Revision Notes.