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12345 [234]
3 years ago
15

Divide the polynomial x^3+x^2-2x+3 by (x-1)​

Mathematics
1 answer:
Anni [7]3 years ago
8 0

Answer:

x² + 2x + (3 / (x − 1))

Step-by-step explanation:

Start by setting up the division:

.........____________

x − 1 | x³ + x² − 2x + 3

Start with the first term, x³.  Divided by x, that's x².  So:

.........____x²______

x − 1 | x³ + x² − 2x + 3

Multiply x − 1 by x², subtract the result, and drop down the next term:

.........____x²______

x − 1 | x³ + x² − 2x + 3

.........-(x³ − x²)

...........----------

...................2x² − 2x

Repeat the process over again.  First term is 2x².  Divided by x is 2x.  So:

.........____x² + 2x __

x − 1 | x³ + x² − 2x + 3

.........-(x³ − x²)

...........----------

...................2x² − 2x

Multiply, subtract the result, and drop down the next term:

.........____x² + 2x __

x − 1 | x³ + x² − 2x + 3

.........-(x³ − x²)

...........----------

...................2x² − 2x

.................-(2x² − 2x)

.................---------------

.....................................3

x doesn't divide into 3, so that's the remainder.

Therefore, the answer is:

x² + 2x + (3 / (x − 1))

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The height of the pole is 6.50 meters

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To calculate the height of the pole, we will use of the following equivalent ratios.

By Pythagoras theorem, we have:

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7 0
2 years ago
Show work/pls explain
Tamiku [17]
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3 years ago
The melt in your mouth chocolate factory is a rectangular building the distance across the front of the store is 294 feet the di
deff fn [24]

Answer:

The sign would be 784 ft. long.

Step-by-step explanation:

The sign would be painted across the total perimeter of the building.

- the distance across the front of the store is 294 feet

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L = length of the building = 294 ft.

B = Breadth of the building = 98 ft.

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Hope this Helps!!!

7 0
3 years ago
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