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Question

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

0,5

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Solution

0,5

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

α+β=0=01=ba

αβ=5=51=ca

a = 1, b = 0, c = 5

Quadratic polynomial is x2+5.


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