Question

Find the zeros of the function g(x) = 2x2 - 5x + 2 by factoring.

Answer 1

you have to write
\[ \large 2x^2-5x+2=(2x-\quad)(2x-\quad) \]

Answer 2

now find two number that multiplied give u 4 and added give 5

Answer 3

I write:
(2x ) ((x )
to give the 2x^2
then I write
( 2) ( 1)
to give the 2
realizing they could both be -
then I notice that
(2x - 1)(x - 2)
gives me the -5x that I need.
It's that "notice" part that is hard.