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Question

Find a quadratic polynomial whose sum of zeroes is 0 and one zero is 5

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Solution

Dear Student

You are doing right just put polynomial equals to 0 because α and β are zeroes of the polynomial.
k(x2 - 25) = 0
x2 - 25 = 0 is required polynomial

You can also check,
x=25 = ±5 are zeros

Regards


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