Question

Divide x3+2x2-5x-6 by x-2 By long division?

Answer 1

Step-by-step explanation:

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Answer 2

Given :  x³+2x²-5x-6  

To Find : Divide by x - 2   using long division

Solution:

                       x² + 4x + 3

       x - 2  _|  x³+2x²-5x-6    |_

                       x³ - 2x²

                    ___________

                             4x² -5x - 6

                             4x² -8x

                         __________          

                                      3x - 6    

                                      3x - 6      

                                   _______

                                          0

Quotient  =    x² + 4x + 3

Remainder = 0  

Divisor = Dividend * Quotient + Remainder

x³+2x²-5x-6 = (x - 2)( x² + 4x + 3) + 0

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