We factor out the common algebraic term 3p from the expression. The remaining quadratic part inside the brackets is s square – 5s + 4, which is split into the linear binomial factors (s – 1) and (s – 4).
Find possible expressions for the length, breadth and height of the cuboid whose volume is 3ps square – 15ps + 12p
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We find the dimensions by factoring the given cubic volume polynomial step by step. First, we pull out the common term 3p from all three components, yielding 3p times the trinomial s square – 5s + 4. Next, we apply the middle term splitting technique to this remaining quadratic expression. The middle coefficient minus 5 splits into minus 1 and minus 4, which solves into the final three dimensional factors.
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/