Answer:
The correct answer is = 10
Explanation:
Given: [tex]x^{3} + 2 {x}^{2} - 3x + 4 [/tex]
Formula/Theorem using:
Remainder theorem = if the polynomial p(x) is divided by the binomial x-a then p(a) will be the remainder.
Solution:
using remainder theorem;
p(x) = [tex]x^{3} + 2 {x}^{2} - 3x + 4 [/tex]
divided by binomial x+2, then
p(-2) = [tex](-2)^{3} + 2 (-2)^{2} - 3(-2) + 4[/tex]
= -8 + 8 + 6 + 4
= 10
