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Question

Question 2 (v)
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.

14,14


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Solution

14,14

Let the polynomial be ax2+bx+c, and its zeroes be α and β.

α+β=14=ba

αβ=14=ca

a = 4, b = 1, c = 1

Therefore, the quadratic polynomial is 4x2+x+1.


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