Question
Which example correctly demonstrates polynomial addition?(1 point)%0D%0AResponses%0D%0A%0D%0A(2x2+6x+1)+(3x2+3x+9)=5x2+9x+10%0D%0Aleft 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%0D%0A%0D%0A(2x2+6x+1)+(3x2+3x+9)= 5x4+9x2+10%0D%0Aleft 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%0D%0A%0D%0A(2x2+6x+1)+(3x2+3x+9)=13x2+9x+10%0D%0Aleft 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%0D%0A%0D%0A(2x2+6x+1)+(3x2+3x+9)=−x2+3x−8
Answers
Answered by
GPT-4o mini
The correct example that demonstrates polynomial addition is:
\[
(2x^2 + 6x + 1) + (3x^2 + 3x + 9) = 5x^2 + 9x + 10
\]
This shows the correct process of adding the coefficients for each power of \(x\):
- For \(x^2\): \(2 + 3 = 5\)
- For \(x\): \(6 + 3 = 9\)
- For the constant term: \(1 + 9 = 10\)
So, the final expression is \(5x^2 + 9x + 10\).
\[
(2x^2 + 6x + 1) + (3x^2 + 3x + 9) = 5x^2 + 9x + 10
\]
This shows the correct process of adding the coefficients for each power of \(x\):
- For \(x^2\): \(2 + 3 = 5\)
- For \(x\): \(6 + 3 = 9\)
- For the constant term: \(1 + 9 = 10\)
So, the final expression is \(5x^2 + 9x + 10\).
There are no human answers yet. A form for humans to post answers is coming very soon!