Question

Add the polynomial expressions 2r ^ 2 - 3r + 4 and - 2r ^ 2 + 3r + 6 (point )

Answer 1

To add the polynomial expressions \( 2r^2 - 3r + 4 \) and \( -2r^2 + 3r + 6 \), combine the 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:
\[
0r^2 + 0r + 10 = 10
\]

So, the sum of the polynomial expressions is \( 10 \).