Polynomial

           

 

                

 

 

            

 

            

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

                

 

        

 

 

          

 

 

                          

 

           

 

             

            

 

                  

         

 

          

 

          

 

          

                 

                   

 

                

 

                 

                 

 

         

    

        

 

      

 

      

 

         

      

         

 

    

 

        

 

 

              

 

               

           

   

 

      

 

      

                 

 

              

     

              

         

        

 

                

    

           

 

         

 

        

       

 

       

 

             

 

       

 

      

 

    

     

                

 

       

             

                            

 

                   Problem 27

                  If 2x² – kx – 12 is divisible by x – 4, find the value of k (a) 4    (b) 5   (c)  6   (d)  7

                  (UME 2008 Question 13, type A SetU03)

 

                   Solution

                                    Let f(x) = 2x² – kx – 12

                                    If it is divisible by 4, then f(4) = 0

                  

Answer: Option B

 

     Problem 28

             A polynomial in x whose roots are  and  is

(a) 15x² – 11x – 12 (b)  15x² +11x –12

(c)  12x² – x –12     (d)    12x² +11x –15 

(UME 2009 Question 13, type A SetU03)

 

 

     Solution

                  

            Answer: Option A