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Question 1 (iv)
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.
iv)   =325,12 


Solution

iv)  Given that, sum of zeroes (S)=325
and product of zeroes (P)=12
 Required quadratic expression,
F(x)=x2Sx+P=x2+325x12
=25x2+3x5
 Using factorization method  = 25x2+5x2x5
=5x(2x+5)1(2x+5)
=(2x+5)(5x1)
Hence, the zeroes of f(x) are 52 and 15

Mathematics
NCERT Exemplar
Standard X

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