If p(x) = x 2 + 7x + 3 is divided by x + 4, the remainder is ?

-9

Step-by-step explanation:

If the binomial is x + 4 = 0, then x = -4  That is the numbe that we will put "outside" and the rest of the numbers will go "inside".  Using synthetic division and coefficients only:

-4|  1    7    3

First bring down the 1, multiply it by the -4, and put the product up under the 7:

-4|   1    7    3

           -4

      1

Now add 7 and -4 to get 3, multiply it by the -4, and put the product up under the 3:

-4|    1    7    3

           -4   -12

       1    3

Now add 3 and -12 to get a remainder of -9.

-4|    1    7    3

            -4   -12

       1     3     -9

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

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