Question

Subtract these polynomials.

(2x^2 + 4x + 3) – (4x^2 – 2x – 3) =

A. 6x^2 + 6x + 6
B. 6x^2 + 2x + 0
C. –2x^2 + 2x + 0
D. –2x^2 + 6x + 6

Answer 1

2x^2 + 4x + 3 – 4x^2 +2x +3 = -2x² +6x +6
Answer D

Answer 2

Answer: The correct option is

(D)
`-2x^2+6x+6.`

Step-by-step explanation: We are given to subtract the following polynomials :

`P=(2x^2+4x+3)-(4x^2-2x-3)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

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

`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.`

Thus, the required resulting polynomial is
`-2x^2+6x+6.`

Option (D) is CORRECT.