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Class 10 · Mathematics (Standard) · Unit 2: Polynomials

Cubic Polynomial Relations

Lesson 5 of 6
For a cubic ax3+bx2+cx+dax^3 + bx^2 + cx + d with zeroes α,β,γ\alpha, \beta, \gamma: α+β+γ=−b/a\alpha+\beta+\gamma = -b/a, αβ+βγ+γα=c/a\alpha\beta+\beta\gamma+\gamma\alpha = c/a, αβγ=−d/a\alpha\beta\gamma = -d/a. Use these Viète-style identities to construct cubics from their zeroes.
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