Math, asked by 3245pandey, 11 months ago

Divide 6x²-x²+9x+2 by (2x+1)and verify the division rule

Answers

Answered by amitnrw
0

Remainder = - 5/4 if  6x²-x²+9x+2 is divided by (2x+1)

Step-by-step explanation:

6x²-x²+9x+2 = 5x² + 9x  + 2

              5x/2  + 13/4

             _____________

2x + 1   _|   5x² + 9x + 2 |_

                 5x²  + 5x/2

                 ___________

                           13x/2  + 2

                           13x/2   + 13/4

                           ___________

                                        -5/4

                                      ______

Remainder = -5/4

2x + 1  => x = -1/2

f(-1/2) = 5(-1/2)² + 9(-1/2) + 2

= 5/4 - 9/2  + 2

= (5 - 18 + 8)/4

= -5/4

Remainder = - 5/4

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