We need to find which of the given options is a factor of the polynomial:
[tex]3x³-x²-20x-12[/tex]
Let's try the first option:
[tex]3x+2[/tex]
We obtain:
x² - x - 6
3x+2 )3x³ - x² - 20x - 12
3x³ +2x²
-3x²- 20x - 12
-3x³ -2x
-18x - 12
-18x - 12
0
Notice that the remainder of the above division is 0. Therefore, 3x+2 is a factor of the polynomial given.
Answer:
