Question

What is the remainder when (3x4 + 2x3 − x2 + 2x − 19) ÷ (x + 2)? (1 point) Select one: a. 0 b. 5 c. 10 d. 15

Answer 1

Answer: C. / 10

Step-by-step explanation:

Answer 2

Answer:

B

Step-by-step explanation:

Given a polynomial divided by a factor (x + h) then the remainder is f(- h)

Given

f(x) = 3$x^{4}$ + 2x³ - x² + 2x - 19 divided by (x + 2)

To find remainder evaluate f(- 2)

f(- 2) = 3$(-2)^{4}$ + 2(- 2)³ - (- 2)² + 2(- 2) - 19

        = 3(16) + 2(- 8) - 4 - 4 - 19

        = 48 - 16 - 4 - 4 - 19

        = 5 → B