Respuesta :
Answer: The correct option is
(D) [tex]-2x^2+6x+6.[/tex]
Step-by-step explanation: We are given to subtract the following polynomials :
[tex]P=(2x^2+4x+3)-(4x^2-2x-3)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To subtract the given polynomials, we need to subtract the coefficients of the terms with same powers of the unknown variable x.
From (i), we get
[tex]P\\\\=(2x^2+4x+3)-(4x^2-2x-3)\\\\=2x^2+4x+3-4x^2+2x+3\\\\=(2-4)x^2+(4+2)x+(3+3)\\\\=-2x^2+6x+6.[/tex]
Thus, the required resulting polynomial is [tex]-2x^2+6x+6.[/tex]
Option (D) is CORRECT.
