What is the Correct Quotient and Remainder When Dividing this Polynomial?

[mweaver68]

Here is the problem I am working on:

Find the quotient and remainder when P(x) = 7 x^6 - 9 x^5 + 8 x^4 + 9 x^3 + 4 x^2 - 6 x is divided by (x + 5).
My answer that I came up with is this.
Q = 7x^5 - 44x^4 + 228x^3 - 1131x^2 + 5659x
R = -28301x

I have done this using Long and Synthetic division and have come up with the same answer every time. Problem is, LonCapa says it is wrong. Anyone know why?

7x^5–44x^4+228x^3–1131x^3 + 5659x​

_____________________________________​

X+5 | 7 x^6 - 9 x^5 + 8 x^4 + 9 x^3 + 4 x^2 - 6 x

7 x^6 + 35x^5​

-44x^5 + 8 x^4​

-44 x^5 – 220 x^4​

228 x^4 + 9 x^3​

228 x^4 + 1140 x^3​

- 1131 x^3 + 4 x^2​

- 1131 x^3 -5655 x^2​

5659 x^2 – 6x​

5659x^2 + 28295x​

-28301x​

Thanks.

 

[tiny-tim]

Find the quotient and remainder when P(x) = 7 x^6 - 9 x^5 + 8 x^4 + 9 x^3 + 4 x^2 - 6 x is divided by (x + 5).
My answer that I came up with is this.
Q = 7x^5 - 44x^4 + 228x^3 - 1131x^2 + 5659x
R = -28301x

Hi mweaver68!

erm … for x + 5, mustn't R be a constant, and Q usually end in a constant?

 

[mweaver68]

Thanks. That's what I was forgetting. I needed to add a 0 to the end of the equation.