P(x)=2x^4-x^3+2x^2-kP(x)=2x
4
−x
3
+2x
2
−kP, left parenthesis, x, right parenthesis, equals, 2, x, start superscript, 4, end superscript, minus, x, cubed, plus, 2, x, squared, minus, k where kkk is an unknown integer.
P(x)P(x)P, left parenthesis, x, right parenthesis divided by (x+1)(x+1)left parenthesis, x, plus, 1, right parenthesis has a remainder of 222.
What is the value of kkk?