Question

if alpha and beta are the zeros of the polynomial such that alpha + beta is equal to 6 and alpha beta is equal to 6 then write a polynomial ​

Answer 1

here's your answer......

Answer 2

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Given Alfa + Beta = 6

And

Alfa × Beta = 6

Let The Quadratic polynomial in terms of x is F(x)

So,

F(x) = x² - (Alfa + Beta)x + (Alfa × Beta )

F(x) = x² - (6)x + 6

F(x) = x² - 6x + 6

Therefore: Required Quadratic polynomial is

F(x) = x² - 6x + 6