Question

add the polynomial expression 2r^2 -3r + 4 and 2r^2 + 3 + )

Answer 1

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

1. Start by writing down both expressions:
\[
(2r^2 - 3r + 4) + (2r^2 + 3)
\]

2. Now, combine the like terms:
- For \(r^2\) terms: \(2r^2 + 2r^2 = 4r^2\)
- For \(r\) terms: \(-3r\) (there is no \(r\) term in the second expression, so it remains as \(-3r\))
- For constant terms: \(4 + 3 = 7\)

3. Putting it all together:
\[
4r^2 - 3r + 7
\]

So, the sum of the two polynomial expressions is:
\[
\boxed{4r^2 - 3r + 7}
\]