Question

Find a quadratic polynomial whose zeroes are 1 and -3. Verify the relation between the coefficients and zeroes of polynomial

Answer 1

Answer:

x^2 + 2 x - 3

Step-by-step explanation:

Given  

Find a quadratic polynomial whose zeroes are 1 and -3. Verify the relation between the coefficients and zeroes of polynomial

Zeroes are 1, - 3

Assume α = 1, β = - 3

So α + β = 1 + (-3) = - 2

αβ = 1 x – 3 = - 3

So quadratic polynomial will be  

 x^2 – x(α + β) + αβ

 x^2 – x(-2) + (-3)

x^2 + 2 x - 3