The quadratic polynomial, the sum, and the product of whose zeroes are 3 and −2 respectively, is
Question
The quadratic polynomial, the sum, and the product of whose zeroes are 3 and −2 respectively, is
Solution
The quadratic polynomial is given by the formula:
f(x) = x² - (sum of roots)x + product of roots
Given that the sum of the roots is 3 and the product of the roots is -2, we can substitute these values into the formula to get:
f(x) = x² - 3x - 2
So, the quadratic polynomial whose sum and product of zeroes are 3 and -2 respectively is x² - 3x - 2.
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