We split the middle coefficient minus 11 into minus 3 and minus 8 because their sum equals minus 11 and their product equals positive 24. This gives the factors directly.
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We split the middle coefficient minus 11 into minus 3 and minus 8 because their sum equals minus 11 and their product equals positive 24. This gives the factors directly.
To complete this quadratic identity without using tiles, we compare it to the standard form x square + (a + b)x + ab. We look for two integers, a and b, whose sum equals minus 11 and whose product equals 24. The numbers that satisfy both equations are minus 3 and minus 8. Substituting these into the factored form results in the final blank answers of (s – 3) and (s – 8).
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/