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7nadin3 [17]
3 years ago
6

Divide the following polynomials using synthetic division, then place the answer in the proper location on the grid. Write answe

r in descending powers of x. (x3 - 2x2 - 1) ( x - 1)
Mathematics
1 answer:
insens350 [35]3 years ago
3 0
To solve using synthetic division:

Draw an upside down division symbol (I did the best I can given the format). Place the constant of x - 1 (1) on the outside, and the coefficients of x³ - 2x² - 1 on the inside, like so:      

   | x³   x²   x¹   x⁰
1 | 1   -2    0   -1   
   |         
   |___________

Next, bring down the first coefficient.

    | x³   x²   x¹   x⁰
  1| 1   -2    0   -1   
    |         
    |___________ 
      1

Multiply the number on the outside of the symbol (1) by the coefficient you've just brought down (1). Place that number under the next coefficient to the right.

    | x³   x²   x¹   x⁰
  1| 1   -2    0   -1    
    |       1   
    |___________ 
      1

Add the new number (1) to the coefficient above it (-2) and place that number directly underneath it.

    | x³   x²   x¹   x⁰
  1| 1   -2    0   -1    
    |       1   
    |___________ 
      1   -1

Continue this process until you've run out of numbers to multiply.

    | x³   x²   x¹   x⁰
  1| 1   -2    0   -1    
    |       1   -1   -1
    |___________ 
      1   -1   -1   -2

The resulting numbers are coefficients. The first three are part of the quotient, and the last one is part of the remainder. The remainder becomes the last coefficient (-2) over the divisor (x - 1).

Answer:
(x³ - 2x² - 1) / (x - 1) = x² - x - 1 + -2/x - 1
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Answer:

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Another way to write this problem would be:

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Researchers investigated whether insomnia is related to education status. Adults living in a certain region were selected to par
Degger [83]

Answer:

A) 8 treatments

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Step-by-step explanation:

<u>A) determine the number of treatments for this study </u>

The number of treatments for this study can be determined as : 2 * 4 = 8 treatments

and they are :

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2 years ago
Find the perimeter and round your answer to the nearest tenths. Can anyone help me with this? I cannot find any videos or exampl
liberstina [14]

Answer:

22.8

Step-by-step explanation:

the rectangular has :

the length CD =√[(3+3)²+(0-5)²]

= √(36+25) = √61 = 7.8

the width BC =√[(5-3)²+(3-0)²]

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so, the perimeter = 2(7.8 + 3.6)

= 2× 11.4 = 22.8

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2 years ago
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