Use the remainder theorem to determine the remainder when d4 + 2d2 + 5d − 10 is divided by d + 4. a. 42 b. 258 c. 126 d. 106

 The correct option is (B) 258.

Step-by-step explanation:  We are give to use the remainder theorem  to determine the remainder when

is divided by

Remainder Theorem :  If p(x) is a polynomial in x and a is any real number, then the remainder when p(x) is divided by (x - a) is p(a).

For the given division, we have

Therefore, the remainder when p(d) is divided by (d + 4) is given by

Thus, the required remainder is 258.

Option (B) is CORRECT.

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph