Enrich · Mathematics Extension 1 11–12 – Year 11 · Polynomials
Enrich Prove that if a quartic P(x) = ax^4 + bx³ + cx² + dx + e has four zeroes α, β, γ, δ then α + β + γ + δ = - b/a, αβ + αγ + αδ + βγ + βδ + γδ = c/a, αβγ + βγδ + γδα + δαβ = - d/a and αβγδ = e/a
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