Show that polynomial x² - 6x +11 has no zero.
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Answer. product of two numbers must be 11 and sum or difference of any two numbers should be 6 but they should be the factors of 11. as 11 is the prime factor so it only has a factors as 11 and 1 no such kind of sum and difference get answer as 6 so by this contradiction this quadratic polynomial doesn't has any zeros.
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