Question

Find a quadratic polynomial whose sum of zeroes and product of zeroes are respectively
(a) 1/4,1/2
(b) 2,1/3​

Answer 1

Answer:

Step-by-step explanation:

Let zeros be (α,β)

α + β = 1/4 = -b/a

αβ = 1/2 = c/a

Polynominal is

  ax^2  + bx + c = 0

⇒ x^2 + bx/a + c/a = 0

 x^2 - (1/4)x + (1/2) = 0