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    				| 1. | 
                                    If t square -1 is a factor of at cube +t square - 2t +b, find the value of a and b | 
                            
| Answer» Let p(x)=at^3+t^2-2t+b.t^2-1=(t+1)(t-1) So put t=1 and -1 in p(x).You will get 2 equations.1::a+b=1 and 2::b-a=3Add them you will get b is 2 so a is -1. | |