Question

find the zero of polynomial x to the power of 2 -5x+6

Answer 1

= $x^2-5x+6$

= $x^2-3x-2x+6$

= $x(x-3)-2(x-3)$

= $(x-2)(x-3)$

So the zeroes are 2 and 3

Answer 2

Hey there !

p(x) = x² -5x + 6

splitting the middle terms :-

x² - 3x - 2x + 6

x [ x - 3 ]  - 2 [ x - 3 ]

[x - 3 ] [ x - 2 ]

x = 3 , x = 2
hence ,
the zeroes are :-
3  and 2