Given parameters: 
  Quadratic expression: 
                  x² - 6x + 7 = 0 
Solve using quadratic formula; 
                       x   = 
From the equation; 
   a  = 1, b = -6 and c = 7
 Input the parameters and solve; 
 
            x = 
           x = 
         x = 
           x =  or
    or 
           x = 7 or -1
           
 
        
             
        
        
        
Complete Question 
The complete question is shown on the first uploaded image 
Answer:
a
  
b
   
 
c
  The correct option is  D 
Step-by-step explanation:
From the question we are told that 
     The margin of error is   
      The largest value is  k =  15 
      The smallest value is  u = 7 
From the question we are told the confidence level is  95% , hence the level of significance is    
        
=>    
Generally from the normal distribution table the critical value  of   is
 is  
     
Generally population  standard deviation estimate is mathematically represented as 
       
Here the Range is mathematically represented as 
        
=>    
=>    
=>   
=>   
Generally the sample size is mathematically represented as 
 ![n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%20%5E2)
=>   ![n = [1.96  *  2 }{0.23} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B1.96%20%20%2A%20%202%20%7D%7B0.23%7D%20%5D%20%5E2)
=>   
Generally to obtain a  conservatively small sample size the population standard deviation estimate becomes 
=>   
=>   
=>   
Generally the conservatively small sample size is mathematically evaluated as 
 ![n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%20%5E2)
=>   ![n = [1.96  *  1.333 }{0.23} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B1.96%20%20%2A%20%201.333%20%7D%7B0.23%7D%20%5D%20%5E2)
=>    
   
  
 
        
             
        
        
        
The quotient in polynomial form is C. x² - x ₊ 1.
<h3>What is synthetic division?</h3>
In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less calculation than long division.
The given problem is-
-3 | 1  2  -2  3
Using synthetic division method,
-3 | 1  2  -2  3
    <u>|   -3    3  3 </u>
    |1   -1    1  6
So, the remainder from the calculation is 6 .
And the quotient polynomial is x² - x ₊ 1.
Hence, the correct answer for the given question is C. x² - x ₊ 1
More about Synthetic division method :
brainly.com/question/12642065
#SPJ1
 
        
             
        
        
        
Like fractions are fractions with the same denominator. You can add and subtract like fractions easily - simply add or subtract the numerators and write the sum over the common denominator.
Before you can add or subtract fractions with different denominators, you must first find equivalent fractions with the same denominator, like this:
1.Find the smallest multiple (LCM) of both numbers.
2.Rewrite the fractions as equivalent fractions with the LCM as the denominator.
When working with fractions, the LCM is called the least common denominator (LCD)
 
        
                    
             
        
        
        
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