SOLUTION: Use synthetic division to divide p(x) = x^4 - 10x^2 - 2x + 4 by x + 3

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Question 1156626: Use synthetic division to divide p(x) = x^4 - 10x^2 - 2x + 4 by x + 3
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
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divide p(x) = x^4 - 10x^2 - 2x + 4 by x + 3
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Include all terms of x.

x^4-0x^3-10x^2-2x+4 divided by x+3 
-3    |    1    0    -10    -2     4
      |
      |
      |______________________________________


-3    |    1    0    -10    -2     4
      |
      |        -3     9      3    -3
      |______________________________________
           1   -3    -1      1     1

result:   x%5E3-3x%5E2-x%2B1%2B1%2F%28x%2B3%29

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

p%28x%29+=+x%5E4+-+10x%5E2+-+2x+%2B+4 by x+%2B+3

--------------(x%5E3-3x%5E2-x%2B1
x+%2B+3|+x%5E4+%2B0%2Ax%5E3-+10x%5E2+-+2x+%2B+4
...................+x%5E4%2B3x%5E3......subtract
..........................+-3x%5E3.....bring -+10x%5E2+ down
..........................+-3x%5E3-+10x%5E2
..........................+-3x%5E3-+9x%5E2......subtract
.....................................+-+x%5E2....bring -+2x+ down
.....................................+-+x%5E2-2x
.....................................+-+x%5E2-3x......subtract
...............................................+x...bring 4+ down
...............................................+x%2B4
...............................................+x%2B3......subtract
....................................................+1...reminder
so, p%28x%29+=+%28x%5E4+-+10x%5E2+-+2x+%2B+4%29=%28x%5E3-3x%5E2-x%2B1%29%28x%2B3%29%2B1