Question

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

Answer 1

-9

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