SOLUTION: long divison p(x)=x^3+3x^2-10x-24 divided by x-3

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Question 237611: long divison
p(x)=x^3+3x^2-10x-24 divided by x-3
Found 3 solutions by stanbon, nyc_function, Theo:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website!
long divison
p(x)=x^3+3x^2-10x-24 divided by x-3
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Use synthetic division:
3)....1....3....-10....-24
........1....6.....8....|..0

Quotient: x^2 + 6x + 8
Remainder: 0
============================
Cheers,
Stan H.

Answer by nyc_function(2741)   (Show Source):
You can put this solution on YOUR website!
After the long math on paper, I came up with x^2 + 6x - 7 with remainder -3 as the answer.

Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website!
Your equation is:

x^3 + 3x^2 - 10x - 24 divided by x-3

divide x from (x-3) into x^3 from (x^3 + 3x^2 - 10x - 24) to get x^2.

x^2 is the first part of your answer.

multiply (x-3) by x^2 to get x^3 - 3x^2.

subtract x^3 - 3x^2 from x^3 + 3x^2 - 10x - 24 to get 6x^2 - 10x - 24.

divide x from (x-3) into 6x^2 from (6x^2 - 10x - 24) to get 6x.

6x is the second part of your answer.

multiply (x-3) by 6x to get 6x^2 - 18x.

subtract 6x^2 - 18x from 6x^2 - 10x - 24 to get 8x - 24.

divide x from (x-3) into 8x from (8x-24) to get 8.

8 is the third part of your answer.

multiply (x-3) by 8 to get 8x - 24.

subtract 8x - 24 from 8x - 24 to get 0.

your remainder is 0.

your answer is x^2 + 6x + 8 with no remainder.

to confirm your answer is correct, you multiply x^2 + 6x + 8 by (x-3).

you get x^3 + 6x^2 + 8x - 3x^2 - 18x - 24.

combine like results to get x^3 + 3x^2 - 10x - 24.

since this is the same as your original equation, the division was good.

here's a picture of what it looks like using pen and paper.