Find a quadratic polynomial whose zeros are 2 and ‒5.


It is given in the question that the two roots of the given polynomial are 2 and – 5

Let us assume and = - 5


We have:


Sum of Zeros = = 2 + (-5) = - 3


Product of Zeros = = 2 × (-5) = - 10


Hence,


Required polynomial = x2 – (


= x2 – (- 3) x + 10


= x2 + 3x – 10


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