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Form a quadratic polynomial whose product and sun of zeros are -1/4 and under root 3 |
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Answer» Answer:Let alpha and BETA are the zeroes of the POLYNOMIAL. Sum of zeroes = (Alpha + Beta) = -8/3 And, Product of zeroes = (Alpha × Beta) = 4/3 Therefore, Required QUADRATIC polynomial = X²-(Alpha + Beta)X + Alpha × Beta => X²-(-8/3) X + 4/3 => X²+8X/3 + 4/3 => 3X²+8X+4/3 = 0 => 3X²+8X+4 = 0 × 3 => 3X²+8X+4 = 0 Hence, The Quadratic polynomial is 3X²+8X+4 HOPE IT WILL HELP YOU....... :-)
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