Find the remainder of (x4 – 2) ÷ (x + 1)

-1

Step-by-step explanation:

If the binomial is x + 1 = 0, then x = -1.  That will be the number that goes "outside" and the leading coefficients will go "inside".  We have only a leading coefficient on the x to the 4th power, but we have to allow for the x-cubed, x-squared, and x terms even though they are missing.  We fill those coefficients in as 0's since they are missing:

-1|    1    0    0    0    -2

Now bring down the first number, 1, and multiply it by the -1, then put the product up under the first 0.  I will do bold the sums so as to not confuse:

-1|    1    0    0    0    -2

           -1

      1

Now add the 0 and -1, multiply that sum by the -1, and put that product up under the second 0:

-1|    1    0    0    0    -2

           -1     1

      1    -1

Now add the 0 and the 1, multiply that sum by the -1, and put the product up under the last 0:

-1|     1     0     0     0     -2

              -1     1     -1

       1     -1     1

Now add the last 0 and the -1, multiply that sum by the -1, and put that product up under the -2 and add to get the remainder:

-1|     1     0     0     0     -2

             -1      1     -1      1

       1     -1      1    -1      -1

The remainder is -1

125 yards

step-by-step explanation:

i take 75 plus 50.