Question

question:

if alpha and beta are zeros of the polynomial p(x), find the polynomial.​

Answer 1

$\huge{\textbf{\textsf{{\color{navy}{Sol}}{\purple{ut}}{\pink{ion}}{\color{pink}{:}}}}}$

Here alpha and beta are the zeros of the polynomial p(x).

= (x-α) and (x-ß) are the factors of p(x)

hence,

p(x) = (x-α) (x-ß)

= x² - (α+ß)x +αß