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if a and b are the zeros of the polynomial x2+4x+3 find the polynomail whose zeros are 1-a/1+a and 1-b/1+b |
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Answer» HEYA MATE, HERE IS UR ANSWER. Thanks for ASKING this question. Sol: Given α and β are zeroes of the polynomial f(X) = X2- 4x + 3 α+ β = 4 αβ = 3 1) (3α + 3β) = 3x 4 = 12 3α x 3β = 9 x 3 = 27. If 3α, 3β are zeros of the quadratic polynomial then the equation is x2 -(3α + 3β)x + 9αβ = 0 then x2 - 12x + 27 = 0. 2) (1/2α + 1/2β) = (α + β) / 2αβ = 4 / 6 = 2 / 3. 1/4αβ = 1 /12 If 1 / 2α, 1 / 2β are zeros of the quadratic polynomial then the equation is x2 -(1 / 2α + 1 / 2β)x + 1 / 4αβ = 0 then x2 -(2 / 3)x + 1 / 12 = 0 12x2 - 8x + 1 = 0. I HOPE IT HELPS U. |
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