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Ex 2.4,13 - Chapter 2 Class 9 Polynomials
Last updated at Dec. 13, 2024 by Teachoo
Chapter 2 Class 9 Polynomials
Concept wise
- Definition
- Degree & Coefficient of a polynomial
- Value of a polynomial at a given point
- Verifying Zeroes of a polynomial
- Finding Zeroes of a polynomial
- Remainder Theoram
- Check if factor
- Factorisation by middle term
- Factorisation by factor formula
- Factorizing cubic equation
- Identity I - IV
- Identity V
- Identity VI & VII
-
Identity VIII
Transcript
Ex 2.4, 13 If x + y + z = 0, show that x3 + y3 + z3 = 3xyz . We know that x3 + y3 + z3 3xyz = (x + y + z) (x2 + y2 + z2 xy yz zx) Putting x + y + z = 0, x3 + y3 + z3 3xyz = (0) (x2 + y2 + z2 xy yz zx) x3 + y3 + z3 3xyz = 0 x3 + y3 + z3 = 3xyz Hence proved
