Question

adding polynomial expressions 2r2−3r+4 and 2r2−3r+6

Answer 1

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

Here's the addition step by step:

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

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

3. Writing it all together, you get:
\[
4r^2 - 6r + 10
\]

So, the result of adding the two polynomial expressions is:
\[
4r^2 - 6r + 10
\]