Question

1. Find the quotient and the remainder when
2x2 - 7x – 15 is divided by:
(1) 2x + 1 ​

Answer 1

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.

Answer 2

Answer:

quotient is x-4

remainder is -11