Find the remainder when x3×2+2×5 is divided by (x2)

Question

Find the remainder when x3×2+2×5 is divided by (x2)

Answer 1

x^3 + 2x ^2 + 2x + 5 divided by x^2

= x + 2 + 2/x + 5/x^2

= x +2 + (2x+5)/x^2

= x +2 plus remainder of 2x+5

check the answer:

x^2(x+2 + (2x+5)/x^2)

= x^3 +2x^2 + 2x +5

but given the way the problem is written, it's hard to tell what the problem is

x^3 x 2 + 2x5

might mean

2x^3 + 10

divide by x^2

= 2x + 10/x^2

= 2x + remainder of 10

or maybe the problem is something else