Add the polynomial

Question

expressions 2r^2-3r+4
and 2r^2+3r+6
. (1 point)

Answer 1

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

1. Add the \(r^2\) terms: \[ 2r^2 + 2r^2 = 4r^2 \]

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

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

Now, combine all these results: \[ 4r^2 + 0r + 10 = 4r^2 + 10 \]

Therefore, the sum of the polynomial expressions is: \[ \boxed{4r^2 + 10} \]