find the quadratic polynomial the sum of the product of whose zeros are - 3 and 2 respectively
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find the quadratic polynomial the sum of the product of whose zeros are - 3 and 2 respectively
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Let alpha and beta are the zeros of the polynomial.
Sum of zeros = (Alpha + Beta) = -3
Product of zeros = (Alpha × Beta) = 2
Therefore,
QUADRATIC POLYNOMIAL = X²-(Alpha+Beta)X+Alpha × Beta
=> X²-(-3X)+2
=> X²+3X+2
Hence,
POLYNOMIAL = X²+3X+2.
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