Question

I need assistance with #2

Answer 1

C

Explanation:

Using the Remainder theorem

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

Here

f(x) = 2x³ + 4x² - x + 3

the divisor is (x + 2) thus the remainder is

f(- 2) = 2(- 2)³ + 4(- 2)² - (- 2) + 3

= 2(- 8) + 4(4) + 2 + 3

= - 16 + 16 + 2 + 3 = 5 → C