What is the sun of the polynomials 3x^2+2x+1 and 2x^2-x+4?

Question

A: 5x^2 + x+5

B 5x^2 + x + 3

C: 5x^2 + x + 4

D: 5x^2 + x + 6

Answer 1

To find the sum of the polynomials \(3x^2 + 2x + 1\) and \(2x^2 - x + 4\), we will add them together by combining like terms.

1. Combine the \(x^2\) terms: \[ 3x^2 + 2x^2 = 5x^2 \]

2. Combine the \(x\) terms: \[ 2x - x = x \]

3. Combine the constant terms: \[ 1 + 4 = 5 \]

Now, combine all these results: \[ 5x^2 + x + 5 \]

Thus, the sum of the polynomials is \(5x^2 + x + 5\).

The correct answer is A: \(5x^2 + x + 5\).