Question

if 4 and 6 are sum and product of roots of equation then find the quadratic polynomial.

Answer 1

Answer:

P(x) = x² - 4x + 6

Step-by-step explanation:

α + β = 4 , αβ = 6

P(x) = k {x² - (α + β)x + αβ }

⇒ P(x) = k {x² - (4)x + 6 }

If k = 1 then

P(x) = x² - 4x + 6