Polynomial Division

  • Thread starter mweaver68
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  • #1
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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.

:confused:
 
Last edited:

Answers and Replies

  • #2
tiny-tim
Science Advisor
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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! :smile:

erm … for x + 5, mustn't R be a constant, and Q usually end in a constant? :redface:
 
  • #3
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Thanks. That's what I was forgetting. I needed to add a 0 to the end of the equation.

:redface:
 

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