Question 41745
It is a bit clumsy to show synthetic division here but I will use the underlines to space out the values properly...we have
2_____4_____-4_____0_____-8_____-13
_____________8_____8_____16_____16
____________________________________
______4______4_____8______8______3

so your quotient is
4x^3 + 4x^2 + 8x + 8 + (3/x-2)