Q81.The sum of the cubes of all the roots of the equation x4 −3x3 −2x2 + 3x + 1 = 0 is _____.
What This Question Tests
This problem requires using Vieta's formulas to relate coefficients and roots of a polynomial and then manipulating expressions to find the sum of cubes of the roots.
Concepts Tested
Formulas Used
Σα = -a₁/a₀
Σαβ = a₂/a₀
Σαβγ = -a₃/a₀
Σαβγδ = a₄/a₀
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📋 Question Details
- Chapter
- Quadratic Equations
- Topic
- Roots of Polynomial Equations
- Year
- 2022
- Shift
- 26 Jun Shift 1
- Q Number
- Q81
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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