This question came in 2019 class 10 boards.
i cannot solve it for some time please help.
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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Divisor x−5
Polynomial x³−3√5x²−5x+15√5
Quotient=x²−2√5x−15
To find other zeroes , we will use common factor theorem
x²−3√5+√5x−15
x(x−3√5)+5(x−3√5)
(x+√5)(x−3√5)
To find zeroes , equals the factors to zero.
other zeroes =−√5, 3√5