Question

What is the remainder of x3 + 3x2 − 10x + k divided by (x + 4)?

Answer 1

Answer: k + 24

Step-by-step explanation:

1) I will use synthetic division

2) Write the coefficients of the dividend keeping the decreasing order of the exponents of x.

1 3 - 10 + k

3) dividing by x + 4 => run the synthetic division with x = - 4

4) division

| 1 3 -10 +k
|
-4 | -4 + 4 +24
-------------------------------------
1 -1 - 6 k + 24

The last number is the remainder: k + 24

Answer 2

The remainder is k+24.
Please, see the attached file.
Thanks.