Question

Add the polynomial expressions 2r2−3r+4
and −2r2+3r+6
.(1 point)
Remaining Attempts :

Answer 1

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

Here are the steps:

1. Write down the expressions:
\[
(2r^2 - 3r + 4) + (-2r^2 + 3r + 6)
\]

2. Combine the like terms:
- For \( r^2 \) terms: \( 2r^2 + (-2r^2) = 0r^2 \)
- For \( r \) terms: \( -3r + 3r = 0r \)
- For the constant terms: \( 4 + 6 = 10 \)

Putting it all together:

\[
0r^2 + 0r + 10 = 10
\]

Therefore, the sum of the two polynomial expressions is \( \boxed{10} \).