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karansingh
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Given that x – √5 is a factor of the polynomial x3 – 3√5×2 – 5x + 15√5, find all the zeroes of the polynomial.

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This question came in 2019 class 10 boards.

i cannot solve it for some time please help.

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1 Answer

  1. Divisor x5
    Polynomial 3√55x+15√5
    Quotient=2√5x15
    To find other zeroes , we will use common factor theorem
    3√5+√5x15
    x(x3√5)+5(x3√5)
    (x+√5)(x3√5)
    To find zeroes , equals the factors to zero.
    other zeroes =−√5, 3√5

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