Respuesta :

Answer:

-4[tex]x^{2}[/tex] - 6

Step-by-step explanation:

First you have to add the two polynomials.  Write the first equation then line up the second equation below the first making sure to keep the columns correct.  [tex]x^{2}[/tex] goes in one column, x goes in the next column and the whole numbers go in the last column.  Also be sure to have the correct signs of those columns.  It should look like this:

                      4[tex]x^{2}[/tex]   -   x   +   1

PLUS             -6[tex]x^{2}[/tex]   +   x   -   4

                      -----------------------

                      -2[tex]x^{2}[/tex]   +  0   -   3

Note that the middle x turns to 0 because you're subtracting 1x from 1x which is 0.

You can now write the SUM as   -2[tex]x^{2}[/tex] - 3

Now they want to know what twice this sum is so multiply it by 2

                          2 ( -2[tex]x^{2}[/tex] - 3)  =  -4[tex]x^{2}[/tex]  -  6

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