Question

If alpha beta are the zeros of a polynomial such that alpha + beta equal to 6 and alpha beta equal to 4 then write the polynomials

Answer 1

$\textbf{Answer -}$

Given, α and β are the roots of the required polynomial with

α + β = 6 and αβ = 4

Thus, the required polynomial is

p (x) = x² - (α + β)x + (αβ)

= x² - 6x + 4

Therefore, the required polynomial be
(x² - 6x + 4).

#$\textbf{MarkAsBrainliest}$

Answer 2

Heya !!!



Sum of zeroes = Alpha + Beta = 6



and,


Product of zeroes = Alpha × Beta = 4



Therefore,



Required Quadratic polynomial = X²-(Sum of zeroes)X + Product of zeroes



=> X²-(6)X + 4



=> X²-6X+4.





HOPE IT WILL HELP YOU....... :-)