Answer: (x - 2) (2x - 1) = 0
Step-by-step explanation:
y = 2x² - 5x + 2
2x² - 5x + 2 = 0 a × c → 2 × 2 = 4
∧
-1 -4 = -5 ← b
Rewrite the equation so that the b-value of -5x is replaced with -1x - 4x
2x² - 1x - 4x + 2 = 0
Divide the equation into two parts (2 terms on the left and 2 on the right)
2x² - 1x || -4x + 2 = 0
Factor the left side and then factor the right side
x(2x - 1) || -2(2x - 1) = 0
Notice that the factor in parenthesis on the left side is the same as the factor in parenthesis on the right side.
x(2x - 1) || -2(2x - 1) = 0
We can rewrite this to show the "outside" as a factor and the "parenthesis" as another factor.
(x - 2) (2x - 1) = 0
