Question

(2х^3+х^2-4х-2):(2х+1)​

Answer 1

Ответ:

х²-1

Объяснение:

(2х³+х²-4х-2):(2х+1)=

= ( (2х³+х²) - (4х+2) ):(2х+1)=

= ( х²(2х + 1) - 2(2х +1)):(2х+1)=

= ( (2х+1) * (х²-1) ):(2х+1)= х²-1

Answer 2

To divide the polynomial (2x^3 + x^2 - 4x - 2) by (2x + 1), you can use long division. Here's how you can do it step by step:

scssCopy code
          x^2   - 1x   + 2
    _______________________
2x + 1 | 2x^3   + x^2   - 4x   - 2
          - (2x^3   + x^2)
          ______________
                    - 5x   - 2
                    - (-5x   - 2)
                    ______________
                                  0

So, the result of dividing (2x^3 + x^2 - 4x - 2) by (2x + 1) is x^2 - x + 2.