This problem has two parts, Part A and Part B.
Part A: Use the Remainder Theorem to find the remainder when p(x)=x3+4x2+5x+2 is divided by x+1.
Part B: Then, use the Factor Theorem to determine whether x+1 is a factor of p(x)=x3+4x2+5x+2.
Select one answer for Part A and one answer for Part B.
A options
A: The remainder is 12.
A: The remainder is 0.
A: The remainder is 2.
B options
B: Yes, x+1 is a factor of p(x).
B: No, x+1 is not a factor of p(x).