Respuesta :
Answer: The correct option is (A) [tex]5x^2-2x+4.[/tex]
Step-by-step explanation: We are given to select the polynomial that represents the following difference :
[tex]D=(8x^2+9)-(3x^2+2x+5)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the required difference, we need to subtract the coefficients of the same powers of the unknown variable x.
From (i), we get
[tex]D\\\\=(8x^2+9)-(3x^2+2x+5)\\\\=8x^2+9-3x^2-2x-5\\\\=(8-3)x^2-2x+(9-5)\\\\=5x^2-2x+4.[/tex]
Thus, the required difference is [tex]5x^2-2x+4.[/tex]
Option (A) is CORRECT.
