Which example correctly demonstrates polynomial addition?(1 point)

Responses

1 (2x2+6x+1)+(3x2+3x+9)=5x2+9x+10
left parenthesis 2 x squared plus 6 x plus 1 right parenthesis plus left parenthesis 3 x squared plus 3 x plus 9 right parenthesis equals 5 x squared plus 9 x plus 10

2 (2x2+6x+1)+(3x2+3x+9)=13x2+9x+10
left parenthesis 2 x squared plus 6 x plus 1 right parenthesis plus left parenthesis 3 x squared plus 3 x plus 9 right parenthesis equals left parenthesis 2 x squared plus 3 x plus 1 right parenthesis plus left parenthesis 3 x squared plus 6 x plus 9 right parenthesis

3 (2x2+6x+1)+(3x2+3x+9)= 5x4+9x2+10
left parenthesis 2 x squared plus 6 x plus 1 right parenthesis plus left parenthesis 3 x squared plus 3 x plus 9 right parenthesis equals left parenthesis 2 x squared plus 3 x squared right parenthesis plus left parenthesis 6 x plus 3 x right parenthesis plus left parenthesis 1 plus 9 right parenthesis

4 (2x2+6x+1)+(3x2+3x+9)=−x2+3x−8

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 months ago

The correct example demonstrating polynomial addition is:

**1.** \((2x^2+6x+1)+(3x^2+3x+9) = 5x^2+9x+10\)

This example correctly sums the corresponding terms of the polynomials.

Here's how the addition works step-by-step:

- Combine \(2x^2\) and \(3x^2\) to get \(5x^2\).
- Combine \(6x\) and \(3x\) to get \(9x\).
- Combine \(1\) and \(9\) to get \(10\).

So the final result is indeed \(5x^2 + 9x + 10\).