Q12 of 90 Page 2

If and be the zeroes of the polynomial x2 + 4x + 3, find the quadratic polynomial whose zeroes are and .


Given : p(x) = x2 + 4x + 3


So, Sum of zeroes …(1)


Product of zeroes …(2)


Now,


Let the zeroes of the quadratic polynomial be



Then,



Sum of zeroes


Product of zeroes


Then, the quadratic polynomial


= x2 – (sum of zeroes)x + product of zeroes


= +


= {from eqn (1) & (2)}


= +


=


So, the required quadratic polynomial is 3x2 – 16x + 16


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