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

B

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

Answer 2

Answer: C. / 10

Explanation: