Question
Find the sum of these polynomials. (x^2 - x + 7) +(9x^2+6)=
Answers
GPT-4o mini
To find the sum of the polynomials \((x^2 - x + 7)\) and \((9x^2 + 6)\), we can start by adding the corresponding terms:
1. Combine the \(x^2\) terms:
\[
x^2 + 9x^2 = 10x^2
\]
2. Combine the \(x\) terms:
\[
-x + 0 = -x
\]
3. Combine the constant terms:
\[
7 + 6 = 13
\]
Now, putting it all together, we have:
\[
(10x^2) + (-x) + 13
\]
Therefore, the sum of the polynomials is:
\[
\boxed{10x^2 - x + 13}
\]
1. Combine the \(x^2\) terms:
\[
x^2 + 9x^2 = 10x^2
\]
2. Combine the \(x\) terms:
\[
-x + 0 = -x
\]
3. Combine the constant terms:
\[
7 + 6 = 13
\]
Now, putting it all together, we have:
\[
(10x^2) + (-x) + 13
\]
Therefore, the sum of the polynomials is:
\[
\boxed{10x^2 - x + 13}
\]