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Question 1 (ii)
For each of the following, find a quadratic polynomial whose sum and product of the zeroes respectively are as given. Also, find the zeroes of these polynomials by factorization.
ii) 218,516

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Solution

ii) Given that, sum of zeroes (S)=218
and product of zeroes ( P)=516
Required quadratic expression, f(x)=x2Sx+P
=x2218x+516=16x242x+5
Using factorization method = 16x240x2x+5
=8x(2x5)1(2x5)=(2x5)(8x1)
Hence, the zeroes of f(x) are 52and18

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