Question 2 (v)
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
−14,14
−14,14
Let the polynomial be ax2+bx+c, and its zeroes be α and β.
α+β=−14=−ba
αβ=14=ca
∴ a = 4, b = 1, c = 1
Therefore, the quadratic polynomial is 4x2+x+1.