1.

1. Find the quotient and the remainder when2x2 - 7x – 15 is divided by:(1) 2x + 1 ​

Answer»

GIVEN: The polynomial 2x² - 7x – 15

To find: the quotient and the remainder when divided by 2X + 1

Solution:

  • Now we have the polynomial 2x² - 7x – 15.
  • Dividing it by 2x + 1, we get:

                 2x + 1 )  2x² - 7x – 15  ( x - 4

                               2x² + x

                              ( -       -              )

                                       -8x  - 15

                                       -8x  -  4

                                       ( +      +     )

                                                 -11

                quotient is x - 4

                 remainder is -11

Answer:

                 So the quotient is x - 4 and the remainder is -11.



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