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Find a quadratic polynomial whose zeros …

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Find a quadratic polynomial whose zeros are reciprocal of the zeros of polynomial P(x) = x2 – x - 6.

    • Posted by Jatin Dahiya 3 years, 4 months ago

    CBSE > Class 10 > Mathematics
    • 3 answers

    Mayank Kumar Modi 3 years, 4 months ago

    Quadratic polynomial formed=x2+1/6x-1/6

    1Thank You

    Mayank Kumar Modi 3 years, 4 months ago

    Zeros of x2 -x -6=x2-3x+2x-6x = (X+2)(X -3) X= -2 or3 So, it's reciprocal = -1/2and1/3. So, -1/2 +1/3= -1/6 And, -1/2×1/3= -1/6 Thus quadratic polynomial formed =x2+1/6x+1/6

    1Thank You

    Aditya Chai Wala 3 years, 4 months ago

    6x2 +x -1

    3Thank You

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