If - - - are the zeros of the polynomial fx-a x3-b x2-c x-d- then -2-2-y2-a b2-aca2b b2-2acac b2-2acb2d b2-2aca2

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Formation of a Quadratic Equation From It's Roots

If α, β, γ ar...

Question

If α, β, γ are the zeros of the polynomial f(x) = ax³ + bx²+ cx + d, then α² + β² + γ² =

(a) $\frac{b^{2} - a c}{a^{2}}$
(b) $\frac{b^{2} - 2 a c}{a}$
(c) $\frac{b^{2} + 2 a c}{b^{2}}$
(d) $\frac{b^{2} - 2 a c}{a^{2}}$

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Similar questions

\frac{a^{2} - 2 b c}{b^{2}}

\frac{b^{2} - 2 a c}{a^{2}}

\frac{a^{2} + 2 b c}{b^{2}}

\frac{b^{2} + 2 a c}{a^{2}}

α

β

a x^{2} + b x + c = 0

(α^{2} + β^{2}), (\frac{1}{α^{2}} + \frac{1}{β^{2}})

\frac{1}{α^{2}} + \frac{1}{β^{2}} =

\frac{b^{2} - 2 a c}{a^{2}}

\frac{b^{2} - 2 a c}{c^{2}}

\frac{b^{2} + 2 a c}{a^{2}}

\frac{b^{2} + 2 a c}{c^{2}}

α, β, γ

a x^{3} + b x^{2} + c x + d

α β γ =

α, β, γ

a x^{3} + b x^{2} + c x + d = 0

α + β + γ = \frac{- b}{a}

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