Find a quadratic polynomial, Sum and product of whose zeros are 2 and -1 respectively
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Quadratic polynomial is x² - 2x - 1 = 0
Step-by-step explanation:
The general quadratic polynomial is written as:-
x² - (sum of the roots)x + product of the roots = 0 ........... (1)
Given sum is 2 and product -1 .
now, put these value in equation (1),
x² - (2)x + (-1) = 0
x² - 2x - 1 = 0
hence, quadratic polynomial is x² - 2x - 1 = 0
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