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110139. Find a cubic polynomial with the sum, sum ofthe product of its zeroes taken two at a time andproduct of its zeroes are 2, -7, -14 respectively.[HOTS] |
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Answer» Let the polynomial be ax3 + bx2 + cx + d and the zeroes be α, β and γ Then, α + β + γ = -(-2)/1 = 2 = -b/a αβ + βγ + γα = -7 = -7/1 = c/a αβγ = -14 = -14/1 = -d/a∴ a = 1, b = -2, c = -7 and d = 14 So, one cubic polynomial which satisfy the given conditions will be x3 - 2x2 - 7x + 14 please accept my answer |
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