Question

Please help me solve this for 15 points!

Answer 1

Answer:

$-2(x^{2} +x+1)$

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.

$-2()$

-2 times what equals $x^{2} ?$ -2 times $x^{2}$ does. Place the $x^{2}$ in the parentheses.

$-2(x^{2} )$

-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)

$-2(x^{2} +x)$

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!

$-2(x^{2} +x+1)$

And your done!

• Hope this helped! ~