We split the middle term 7x into 3x plus 4x. Factoring the expressions in pairs gives the two linear binomial factors which are (2x + 1) and (3x + 2).
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To factorize this quadratic equation, we split the middle coefficient 7 into two parts that add up to 7 and multiply to 12. These numbers are 3 and 4. We rewrite the quadratic expression as 6x square + 3x + 4x + 2. Factoring by grouping gives 3x(2x + 1) + 2(2x + 1). Taking out the common bracket results in the final factors of (2x + 1) and (3x + 2).
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 4 Exploring Algebraic Identities (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-4/