Polynomial Division and Complex Numbers
x + 3
?
2x2 + 20x + 24
?
2x2 + 6x
?
2x
?
14x + 42
?
14x + 24
?
+ 14
?
-18
?
4x + 5
4x3 – 7x2 – 11x + 5
?
4x3 + 5x2
?
-12x2 – 15x
?
-12x2 – 11x
?
x2
?
- 3x
?
4x + 5
?
4x + 5
+ 1
?
0
x2 + 0x – 4
x4 + 0x3 – 4x2
?
x4 + 9x3 – 5x2 – 36x + 4
?
9x3 + 0x2 – 36x
?
9x3 – 1x2 – 36x
?
-1x2 + 0x + 4
?
-1x2 + 0x + 4
x2
?
+ 9x
?
- 1
?
0
?
x2 + 3x + 2
?
x4 + 6x3 + 11x2 + 6x + 0
?
x4 + 3x3 + 2x2
?
3x2 + 9x2 + 6x
3x3 + 9x2 + 6x
?
0x2 + 0x + 0
0x2 + 0x + 0
?
x2
?
+ 3x
?
0
+ 0
?
x2  +        x +       +
x - 5
x2  +          x  +         +
x + 10
x3 +        x2  +        x +     
x4 +         x3 +        x2 +           x +         + 
(-2 + 2√2 i) + (5 – 5√2 i)
?
(-2 + 2√-2) + (5 – 5√-2)
?
3
?
+     √2 i
-3
?
(8 – 3√-2) – (3 – 3i)
?
(8 – 3√2 i) – (3 – 3i)
?
5 + (-3√2 + 3) i
?
11
?
  +       i
-41
?
-35
?
21
?
10
?
-6
?
-3
?
-
?
√2 i
0 – √15i
?
0 + √15i
?
1 – 2√2 i
?
1 + 2√2 i
?
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