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 = x^{2} – (

= x^{2} – (- 3) x + 10

= x^{2} + 3x – 10

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