please help me out in a query
Answers
Answer:
x -2 and x + 3
Step-by-step explanation:
Divide the given quadratic equation using factor 3x-2
3x -2)3x³ + x² - 20x + 12(x² + x - 6
3x³ - 2x²
- +
-----------------------------
3x² - 20x
3x² - 2x
- +
--------------------------
-18x + 12
-18x + 12
+ -
--------------------
0
---------------------
=> 3x³ + x² - 20x + 12 = (3x - 2) (x² + x - 6)
= (3x-2) (x²+3x - 2x - 6)
= (3x -2 )(x(x+3) -2(x+3))
= (3x - 2)(x - 2)(x + 3).
Thus the other factors are x -2 and x + 3.