Answer:
The remainder is 14
Explanation:
The simplest way to find the remainder when 3x^4+2x^3-x^2-14
Is divided by x+2 is to do the following:
3x^4+2x^3-x^2-14 (1)
x+2 = 0 (2)
From equation 2,
x = —2
Substitute the value of x into equation 1. This is illustrated below:
3x^4+2x^3-x^2-14
=> 3(—2)^4 + 2(—2)^3 — (—2)^2 — 14
=> 3(16) + 2(—8) — (4) —14
=> 48 — 16 — 4 — 14
=> 14
The remainder is 14