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

1 answer

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 \( 10 \).