long division---

Question

Which divisor of  results in a remainder of 82?

a.
b.
c.
d.

Answer 1

-2x^3+4x^2+3x+1

start with a and set it equal to 0

x+3=0

x=-3

replace each x with -3

-2(-3)^3+4(-3)^2+3(-3)+1

-2(-27)+4(9)+3(-3)+1

54+36-9+1

90-9+1

81+1

82

x+3 leaves a remainder of 82

you could also use synthetic division which is shorter than long division but substitution is probably the best way; your choice