SOLUTION: divide 3x4+2 by x+1 (the x is to the fourth power) and check

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Question 120511: divide 3x4+2 by x+1 (the x is to the fourth power) and check
Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
Note: The figures below the x%2B1 divides 3x%5E4%2B0x%5E3%2B0x%5E2%2B0x%2B2 line are what we would find when doing long division. You will see how it is done, in any case:
Solution: 3x%5E3-3x%5E2%2B3x-3%2B5%2F%28x%2B1%29
x%2B1 divides 3x%5E4%2B0x%5E3%2B0x%5E2%2B0x%2B2
-%283x%5E4%2B3x%5E3%29
-3x%5E3
-%28-3x%5E3-3x%5E2%29
3x%5E2
-%283x%5E2%2B3x%29
-3x%2B2
-%28-3x-3%29
5

Check: %283x%5E3-3x%5E2%2B3x-3%2B5%2F%28x%2B1%29%29%2A%28x%2B1%29=3+x%5E3%2A%28x+%2B+1%29+-+3+x%5E2+%28x+%2B+1%29+%2B+3+x+%28x+%2B+1%29+-+3+%28x+%2B+1%29+%2B+5=3x%5E3%2B3x%5E4-3x%5E2-3x%5E3%2B3x%2B3x%5E2-3x-3%2B5=3x%5E4%2B2