Respuesta :

the answer would end up being 12x+4

The difference between the polynomials 5x² + 2x + 11 and  7 + 4x - 2x² is  7x² - 2x + 4 option (D) 7x² - 2x + 4 is correct.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

The complete question is:

FIND THE DIFFERENCE:

(5x² + 2x + 11) - (7 + 4x - 2x²)

  • A. 9 - 2x - 2x²
  • B. 3x² - 2x + 4
  • C. 3x² + 6x + 4
  • D.7x² - 2x + 4

We have two polynomials:

5x² + 2x + 11 and  7 + 4x - 2x²

We have subtract the polynomial 7 + 4x - 2x² from the polynomial 5x² + 2x + 11

= (5x² + 2x + 11) - (7 + 4x - 2x²)

Using distributive property:

= 5x² + 2x + 11 - 7 - 4x + 2x²

= 7x² - 2x + 4

The difference is 7x² - 2x + 4

Thus, the difference between the polynomials 5x² + 2x + 11 and  7 + 4x - 2x² is  7x² - 2x + 4 option (D) 7x² - 2x + 4 is correct.

Learn more about Polynomial here:

brainly.com/question/17822016

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