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

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation:

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step-by-step explanation: