Answer:
Remainder is 13
Step-by-step explanation:
You can apply the remainder theorem here. You just equate the divisor to 0, then substitute the x-value in the expression.
[tex]x^3 + 4x^2 - 2x + 1 \\[/tex] then, [tex]x+2=0\\x=-2[/tex]
substitute:
[tex]-2^3 + 4(-2)^2-2(-2) + 1 =13[/tex]
Therefore, the remainder is 13