Q2 of 227 Page 82

Find a quadratic polynomial each with the given numbers as the sum and product of its zeros respectively.

2, 4

Formula for quadratic equation is,

x2 – (sum of roots) x + Product of roots = 0


Given, sum of roots = 2 and product of roots = 4


∴ Quadratic equation is,


⇒ x2 – 2x + 4 = 0


Hence, Quadratic equation is x2 – 2x + 4 = 0.


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Find a quadratic polynomial each with the given numbers as the sum and product of its zeros respectively.