Find Quotient and remainder with long division?!?

Question

by using long division or even synthetic, find the remainder and quotient when 2x^4+3x^2 -5x+9 is divided by x+3.

I don't know how to divide with 4th degrees, i tried synthetic division but its not working out. I keep getting a crazy bunch of number.

Answer 1

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Answer 2

x + 3)2x^4 + 0x^3 + 3x^2 - 5x + 9(2x^3
........2x^4 + 6x^3
_______________________
.................-6x^3 + 3x^2(-6x^2
.................-6x^3 - 18x^2
______________________
.......................21x^2 - 5x(21x
.......................21x^2 +63x
_____________________
.........................-68x+ 9(-68
..........................-68x - 204
______________________
..............................213

The quotient is 2x^3 - 6x^2 + 21x - 68 and remainder is 213

Answer 3

2x^4+3x^2-5x+9|x+3
-2x^4-6x^3 |_______
____________ |2x^3-6x^2+21x-68
0-6x^3+3x^2-5x+9
+6x^3+18x^2
_____________
0 +21x^2-5x+9
-21x^2-63x
___________________
0 -68x+9
+68x+68*3
________________________
0+68*3+9

Answer 4

2x^3-6x^2+21x-68 with remainder 213/x+3