SOLUTION: perform the indicated division. (x^5 + 3x^3 - 6) / (x - 1)

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Question 732562: perform the indicated division. (x^5 + 3x^3 - 6) / (x - 1)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Do you need to do as synthetic division, or is polynomial long division what you want? Either way, write the dividend in its expanded form:
x%5E5%2B0%2Ax%5E4%2B3x%5E3%2B0%2Ax%5E2%2B0%2Ax-6.

x%5E5%2B0%2Ax%5E4%2B3x%5E3%2B0%2Ax%5E2%2B0%2Ax-6 DIVIDED BY x-1:

X^5/x=^4. Put this above the x^5 term.
x^4*(x-1)=x^5-1*x^4. Subtract and obtain 0+x^4.
Bring down next term of dividend, the 3x^3.

x^4/x=x^3. Put this above the x^4 term of the dividend.
x^3*(x-1)=x^4-x^3. Subtract and obtain 0+4x^3.
Bring down next term of dividend, the 0*x^2.

4x^3/x=4x^2. Put this above the x^3 term of the dividend.
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continue the the steps and process until done.
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Answer quotient will be x%5E4%2Bx%5E3%2B4x%5E2%2B4x%2B5 and remainder -1.