Find the quotient and remainder using synthetic division for
x^5 - x^4 + 3 x^3 - 3 x^2+4 x - 9 divided by {x-1}
when I did this using synthetic division i got
1 0 3 0 4 remainder -5
so when I set it up to enter the quotient I put x^2+3x+4 but my answer keeps coming back wrong and I am not sure what I am doing. can someone please help me?

Question

Find the quotient and remainder using synthetic division for
x^5 - x^4 + 3 x^3 - 3 x^2+4 x - 9   divided by {x-1}
when I did this using synthetic division i got 
1 0 3 0 4 remainder -5
so when I set it up to enter the quotient I put x^2+3x+4    but my answer keeps coming back wrong and I am not sure what I am doing. can someone please help me?

anonymous · Answer

let's see,
1 0 3 0 4 is your answer right?
but what corresponds with each numbers?
Hint: just because the answer is 0, it doesn't mean we ignore it.

anonymous · Answer

my total answer was 1 0 3 0 4 -5  i thought we just ignored the zeros

anonymous · Answer

$$a, b, c, d, e$$ corresponds with $$x^4, x^3, x^2, x, 1$$
 right?

anonymous · Answer

yes, I thought if it was a zero though it just kind of went away and the real numbers you were left with were the ones you did that for

anonymous · Answer

so the quotient would be $ax^4+bx^3+cx^2+dx+e$, right?
plug 1,0,3,0,4 in for a,b,c,d,e. hopefully you'll see what you missed :D

anonymous · Answer

here is what I got: x^4-x^3+3x^2-x+4

anonymous · Answer

wait hold on.

anonymous · Answer

$(1)x^4+(0)x^3+(3)x^2+(0)x+4$, don't forget that even though 0's can be ignored, they still hold a place!

anonymous · Answer

so i got it. x^4+3x^2+4  right?

anonymous · Answer

yup!

anonymous · Answer

yeah!! Thank you so much for your help--AGAIN! Thank you!!!

anonymous · Answer

no problem!