Question

if 2 and -2 are the zeroes of the polynomial p(x), write p(x) in factor form.

Answer 1

2 and -2 are two zeroes of P(x ).



( X - 2 ) and ( X + 2 ) is also a factor of p(x ).





( X - 2 ) ( X + 2 ) => ( X² ) - (2)²



=> X² - 4.


Hence,

P ( x ) = x² - 4.



P( x ) in factor form = ( x - 2 ) ( x + 2 ).