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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


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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