Question

Subtract these polynomials.

(3x2 + 2x + 4) - (x2 + 2x + 1) =

A. 2x2 + 5
B. 2x2 + 4x + 3
C. 2x2 + 3
D. 2x2 + 4x + 5

Answer 1

=(3x2 + 2x + 4) - (x2 + 2x + 1)
Combine like terms
=(3x2-x2)+(2x-2x)+(4-1)
=2x2+0+3
The 2x terms cancel each other to 0
=2x2+3

C) 2x2+3 is the answer.

Hope this helps! :)

Answer 2

`2x^2+3`

C is the correct options.

Explanation:

The given polynomial is

`(3x^2+2x+4)-(x^2+2x+1)`

Distribute the negative sign over the parenthesis

`3x^2+2x+4-x^2-2x-1`

Now, group the like terms

`3x^2-x^2+2x-2x+4-1`

Combine the like terms

`2x^2+3`

Thus, the expression after subtracting the polynomials is
`2x^2+3`

C is the correct options.