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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.

iii)  23,9


Solution

iii)  Given that, sum of zeroes (S)=23
and product of zeroes (P)=9
 Required quadratic expression
f(x)=x2Sx+P=x2+23x9
=x2+33x3x9
=x(x+33)3(x+33)
=(x+33)(x3)
Hence, the zeroes of f(x) are  - 33 and 3

Mathematics
NCERT Exemplar
Standard X

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