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++ 50 ++ α β γ are zeroes of cubic polynomial x3 – 12x2 44x c. if α β γ are in ap find the value of c 264450

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SOLUTION 43 36 α, β, γ are zeroes of polynomial x3 px2 qx 2 such that αβ 1 = 0 Find the p (x) = x³ 12x² 44x c Since, α, β and γ are the roots of p (x), α β γ = 12 (i) αβ βγ γα = 44 (ii) αβγ = c (iii) Given that, α, β and γ are in AP, β α = γ α or, 2α = β γ (iv) Now, (i) × 2 ⇒ 2α 2 (β γ) = 24 ⇒ (β γ) 2 (β γ) = 24 ⇒ 3 (β γ) = 24 ⇒ β γ If α and β are the zeros of the polynomial f(x) = x^2 px q, then a polynomial having 1/α and 1/β and is its zeros is asked Apr 24 in Polynomials by Madhuwant (381k points) polynomials; Cbseworld Weebly Com Uploads 2 8 1 5 Maths 9 Pdf α β γ are zeroes of cubic polynomial x3 – 12x2 44x c. if α β γ are in ap find the value of c