Question

Add the polynomial expressions 2r squared minus 3r + 4 and -2r squared+ 3r + 6

Answer 1

To add the polynomial expressions \(2r^2 - 3r + 4\) and \(-2r^2 + 3r + 6\), we will combine like terms.

1. Combine the \(r^2\) terms:
\[
2r^2 + (-2r^2) = 0r^2
\]

2. Combine the \(r\) terms:
\[
-3r + 3r = 0r
\]

3. Combine the constant terms:
\[
4 + 6 = 10
\]

Putting it all together, we get:
\[
0r^2 + 0r + 10 = 10
\]

Thus, the sum of the polynomial expressions is:
\[
\boxed{10}
\]