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Find a quadratic polynomial each with t...

Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
(i) 1, 1
(ii) `-1/4,1/4`
(iiii) 4, 1

Text Solution

AI Generated Solution

To find a quadratic polynomial with given numbers as the sum and product of its zeroes, we can use the standard form of a quadratic polynomial, which is: \[ P(x) = x^2 - (sum \ of \ zeroes) \cdot x + (product \ of \ zeroes) \] Let's solve the problem step by step for each case. ### (i) Sum = 1, Product = 1 ...
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