Question 2 (iv)
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
1, 1
1, 1
Let the polynomial be ax2+bx+c, and its zeroes be α and β.
α+β=1=11=−ba
αβ=1=11=ca
∴ a = 1, b = -1, c = 1
Therefore, the quadratic polynomial is x2−x+1.