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If 2 and 3 are the …

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If 2 and 3 are the zeros of polynomial 3x²-2kx+2m.find the value of k and m?

    • Posted by Lucifer ? Morningstar? 5 years, 11 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Yogita Ingle 5 years, 11 months ago

    Let p(x) = 3x²-2kx+2m

    Given, 2 & 3 are zeroes of p(x).
    Then , p (2) = 0 & p(3)= 0

    Now, p(2)= 3×2²-2k(2)+2m=0

    3× 4-4kx+2m=0

    12-4k+2m=0………..(1)

    p(3) =  3×3²-2k(3)+2m=0

    3× 9-6kx+2m=0

    27-6k+2m=0………..(2)

    On Subtracting Equation 1 from equation 2.

    27-6k+2m=0
    12-4k+2m=0
    (-)  (+) (-)
    ------------------
    15-2k =0

    15=2k

    k= 15/2

    On putting k= 15/2 in eq 1

    12-4k+2m=0

    12-4(15/2)+2m=0

    12-30+2m=0

    -18+2m=0

    2m=18
    m=18/2
    m=9

    Hence, k=15/2, m= 9

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