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Since √(5/3) and – √(5/3) are the two zeroes therefore,
(x - √(5/3))(x + √(5/3)) = 1/3(3x2 - 5) is a factor of given polynomial.
Divide the given polynomial by 3x2 – 5.
see in attachment
For other zeroes, x2 + 2x + 1 = 0
(x + 1)2 = 0
x = –1, –1
Zeroes of the given polynomial are √(5/3), – √(5/3), –1 and –1.
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