Q2 of 44 Page 67

Find the quadratic polynomial in each case, with the given numbers as the sum and product of its zeroes respectively.

Given: α + β = 0

αβ = √5


Let the quadratic polynomial be ax2 + bx + c …(1)


Where, a≠0


And zeroes of the polynomial are α and β .


Now we know that,



…(2)


And,



If a = 1


⇒c = √5 …(3)


From (2) and (3),


a = 1, b = 0 and c = √5


Hence, the polynomial is x2 +√5


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