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Question

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

1, 1

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Solution

1, 1

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

α+β=1=11=ba

αβ=1=11=ca

a = 1, b = -1, c = 1

Therefore, the quadratic polynomial is x2x+1.


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