Answer:
[tex]-2(x^{2} +x+1)[/tex]
Step-by-step explanation:
Notice how there are 3 -2's. With this information, we can build our factorization. Start by placing a negative two on the outside of a pair of parentheses.
[tex]-2()[/tex]
-2 times what equals [tex]x^{2} ?[/tex] -2 times [tex]x^{2}[/tex] does. Place the [tex]x^{2}[/tex] in the parentheses.
[tex]-2(x^{2} )[/tex]
-2 times positive 1x = -2x, so place that in parentheses as well. Use a plus sign in the parentheses instead of a negative sign to show that the 2x is positive. (1x is equivalent to x)
[tex]-2(x^{2} +x)[/tex]
Lastly, -2 times positive one is -2, so add that in as well. Make sure you use that plus sign to show the one is positive!
[tex]-2(x^{2} +x+1)[/tex]
And your done!
