16 find all the zeroes of the polynomial x4 x3 − 34x2 − 4x 120 if two of its zeroes are 2 and 2

Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Also, verify the relationship between the zeroes and coefficients in each case:
2x+ x–5x + 2; 1/2, 1,–2 

Let p(x) = 2x3+x2–5x + 2 Comparing the given polynomial with ax3 + bx

+ cx + d, we get
                    


Now, 

                     

                           

                          


          

                    

and   

                  

∴   
 are the zeroes of 

Hence, verified.Here, we have


Now,    

         

                            

and       
    
                                   Hence verified.

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