Answer:
The correct option is: c. Prime
Step-by-step explanation:
The given expression is: [tex]x^2 -8x-12[/tex]
First we will take each given option and simplify them using FOIL method to see if we get the original given expression. So.....
[tex]a.\ \ \ (x-6)(x+2)\\ \\ =x^2+2x-6x-12\\ \\ =x^2-4x-12\\ \\ \\ b.\ \ \ (x+3)(x-4)\\ \\ =x^2-4x+3x-12\\ \\ =x^2-x-12\\ \\ \\ d.\ \ \ (x+6)(x-2)\\ \\ =x^2-2x+6x-12\\ \\ =x^2+4x-12[/tex]
We can see that options [tex]a, b\ and\ d[/tex] doesn't give the original given expression.
So, the expression [tex]x^2 -8x-12[/tex] is Prime.
