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verify -1, 1/2, 1/3 are the …

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verify -1, 1/2, 1/3 are the zeroes of the polynomial 6x³+x²-4x-1 also verify the relationship between zeroes and the coefficient

    • Posted by Sumit Rathi 4 years, 8 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Bhoomika Verma 4 years, 8 months ago

    Sum of the zeroes= -1. Polynomial is 6x3+x2-4x-1 Product of the zeroes = 1/2 Sum of product of the zeroes = 1/3 Sum of the zeroes = -b/a Alpha+bita+gamma = -b/a -1+1/2+1/3 = -1/6 -6+3+2/6 = -1/6 -6+5/6 =-1/6 -1/6 = -1/6 Product of the zeroes = d/a Alpha×bita×gamma = d/a -1×1/2×1/3 = -1/6 -1/6 = -1/6 Sum of product of the zeroes = c/a Alpha×bita+bita×gamma+gamma×alpha = c/a (-1)×1/2 + 1/2×1/3 + 1/3×(-1) = -4/6 -1/2+1/6+(-1/3) = -4/6 -1/2+1/6-1/3 = -4/6 -3+1-2/6 = -4/6 -5+1/6 = -4/6 -4/6 = -4/6

    0Thank You

    Arshdeep Kaur 4 years, 8 months ago

    Verfdgh

    4Thank You

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