Question

( 2х4 + 2х3-5х2-2) : (х2+х-2)

Answer 1

Ответ:

2

Объяснение:

(2*4 + 2*3-5х2-2) :(х2+х-2) = 2(4+3-5-1) = 2*1=2

Answer 2

To simplify the expression:

(2x^4 + 2x^3 - 5x^2 - 2) / (x^2 + x - 2)

We can use polynomial long division. Here are the steps:

markdownCopy code
        2x^2 - x + 1

---

x^2 + x - 2 | 2x^4 + 2x^3 - 5x^2 - 2

• (2x^4 + 2x^3 - 4x^2)

  ---

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          - x^2 - 2
  
        - x^2 + x
        _________
               -3x - 2
  
               -3x + 6
              _______
                  -8
  

Therefore, the simplified expression is:

2x^2 - x + 1 - (3x + 6) / (x^2 + x - 2)

or

2x^2 - x + 1 - (3x + 6) / (x + 2)(x - 1)