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3 votes
Subtract these polynomials.

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

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

User Luuklag
by
6.9k points

2 Answers

2 votes
=(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! :)
User AstroBen
by
7.9k points
5 votes

Answer:


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.

User Rsethc
by
6.6k points