Solve polynomial by using long division
Algebra

Tutor: None Selected  Time limit: 1 Day 
Solve and explain step by step.
(x³4x²39x 24) ÷ (x 5)
Some of your plus and minus signs didn't come out in the question, so I had to guess on them. The answer may not be completely correct for that reason (in fact, I suspect it's not because of the large remainder). However, I did my best to explain each step for you, so you know how to do this if my choice of signs was incorrect. Feel free to message me if you want more help.
x^2  x  34 Remainder 96/(x5)
x  5 x^3  4x^2  39x + 24 < Line 1
 (x^3 5x^2) < Line 2
0 + x^2  39x +24 < Line 3
 (x^2  5x) < Line 4
0 + 34x + 24 < Line 5
 (34x + 120) < Line 6
0 + 96 < Line 7
1) x goes into x^3: x^2 times. To get the first number under the division sign, you multiply x^2 by (x5)  giving x^3  5x^2. (Line 2)
2) Subtract (x^35x^2) from the x^3  4x^2  39x + 24, giving x^2  39x + 24 (Line 3)
3) x goes into x^2: x times. Multiply x by (x5)  giving x^2  5x (Line 4).
4) Subtract (x^25x) from x^2  39x + 24, giving 34x + 24 (Line 5)
5) x goes into 34x: 34 times. Multiply 34 by (x5)  giving 34x + 120 (Line 6)
6) Subtract 34x + 120 from (34x + 24), giving 96. (Line 7)
7) Now your remainder is 96/(x5).
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