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Answer:
r(-1) = 6.31 and r(2) = -16.88
Step-by-step explanation:
* Lets read the problem and solve it
- Evaluate means find the value, so evaluate r(x) means find the value
  of it at the given values of x
∵ r(x) = -0.21x³ + x² - 8.1x - 3
∵ x = -1 and x = 2
- Then find r(-1) by substitute x by -1 and find r(2) by substitute x by 2
# At x = -1
∴ r(-1) = -0.21(-1)³ + (-1)² - 8.1(-1) - 3  
∴ r(-1) = -0.21(-1) + (1) - 8.1(-1) - 3
∴ r(-1) = 0.21 + 1 + 8.1 - 3
∴ r(-1) = 6.31
# At x = 2
∴ r(2) = -0.21(2)³ + (2)² - 8.1(2) - 3  
∴ r(2) = -0.21(8) + (4) - 8.1(2) - 3
∴ r(2) = -1.68 + 4 - 16.2 - 3
∴ r(2) = -16.88
* r(-1) = 6.31 and r(2) = -16.88
 
        
             
        
        
        
Answer:
The answer to your question is only the second and the third are factors.
Step-by-step explanation:
Find the factors of               24x⁶ − 1029y³
First find the prime factors of 24 and 1029
   24  2                1029 3
   12   2                  343 7                  Then 24 = 2³3
    6   2                    49  7                         1029 = 7³ 3
    3   3                       7  7
    1                             1
      x⁶ = (x²)³                  y³ = y³
Then 
                                   2³3(x²)³  -  7³ 3  y³
 Factor 3                    3[  2³(x²)³  -  7³ y³]
 Factor                      3 [ (2x² - 7y)(4x⁴ + 14x²y + 49y²)]
Then 
24
2x2 + 7y
4x4 + 14x2y + 49y2
All of the above
 
        
                    
             
        
        
        
1 - 5/15 + 3/15 
Just use common denominators! 
Hope that helped. :)
        
             
        
        
        
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