Question

Add the two polynomials:
(3x^2 - 2x - 5 ) + ( 2x^2 + x -10

Answer 1

To add the two polynomials \( (3x^2 - 2x - 5) + (2x^2 + x - 10) \), you simply combine like terms.

1. **Combine the \(x^2\) terms:**
\[
3x^2 + 2x^2 = 5x^2
\]

2. **Combine the \(x\) terms:**
\[
-2x + x = -x
\]

3. **Combine the constant terms:**
\[
-5 - 10 = -15
\]

Putting it all together, the sum of the two polynomials is:
\[
5x^2 - x - 15
\]

So, the result is:
\[
\boxed{5x^2 - x - 15}
\]