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zloy xaker [14]
4 years ago
7

How do i Divide z4 by z-3

Mathematics
1 answer:
stich3 [128]4 years ago
7 0
Synthetic division:

3  |  1   0   0     0     0
... |  .    3   9   27   81
- - - - - - - - - - - - - - - -
... |  1   3   9   27   81

which translates to

\dfrac{z^4}{z-3}=z^3+3z^2+9z+27+\dfrac{81}{z-3}
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How do I find the y value for point I such that DI and EI form a 3:5 ratio.
liraira [26]
3:5 ratio mean there are 8 "parts" (3 + 5 = 8)

The distance between the x-coordinates is |-3 - 5| = 8.
So each "part" is 8/8 = 1 unit long in the x-direction. 
You want I to be 3(1) = 3 units from D, so the x-coordinate of I is -3 + 3 = 0.

Same deal for y.
|2 - 5| = 3 is the distance between D and E
Each part is 3/8.
3(3/8) = 9/8
2 + 9/8 = 25/8

So the point I is (0, 25/8)


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8+6n

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