Question 2 (iii)
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
0,√5
0,√5
Let the polynomial be ax2+bx+c, and its zeroes be α and β.
α+β=0=01=−ba
αβ=√5=√51=ca
∴ a = 1, b = 0, c = √5
∴ Quadratic polynomial is x2+√5.