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Question

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

2,13


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Solution

2,13

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

α+β=2.

αβ=13=ca

α+β = 323=ba

a = 3, b = -32, c = 1

Quadratic polynomial is 3x232x+1.


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