Divide using synthetic division, and write a summary statement in fraction form. 2x^5-x^4+3x^2-x+5 divided by x-1

Question

luigi0210 · Answer

Do you know how to solve this using synthetic division?

anonymous · Answer

I think so, but none of the answers are the same as what I got. These are the answer options 
 a. 2x4 + x3 + 4x2 + 3x +  	
	 b. 2x4 + x3 - x2 + 2x + 1 +  	
	 c. 2x4 + x3 + x2 + 4x + 3 +  	
	 d. 2x4 - 3x3 + x +

luigi0210 · Answer

Well show me your process and I will try to see where I can help.

anonymous · Answer

1|  2   -1   3   -1   5
         2    1   4    3
    2   1   4   3    8 and then I divided all the x values by x and ended up with 2x^4+x^3+4x+3 and a remainder of 8/x-1

luigi0210 · Answer

Oh, I see where you messed up, you forgot a term there bud.

luigi0210 · Answer

Okay, so you have the equation: 
$$\LARGE 2x^5-x^4+3x^2-x+5$$
right?

luigi0210 · Answer

When you use synthetic division, you have to include ALL terms.

anonymous · Answer

so would the correct answer be 2x4 + x3 + x2 + 4x + 3 with a remainder of 8/x-1?

luigi0210 · Answer

Actually yes, nice job :)