Question

Which polynomial represents the sum below?
3x^2 + 7x + 3
+ 5x^2 + 12x
_____________

Answer 1

To find the sum of the given polynomials \(3x^2 + 7x + 3\) and \(5x^2 + 12x\), we combine like terms:

1. **Combine the \(x^2\) terms:**
\[
3x^2 + 5x^2 = 8x^2
\]

2. **Combine the \(x\) terms:**
\[
7x + 12x = 19x
\]

3. **Combine the constant terms:** (only one polynomial has a constant)
\[
3
\]

Putting it all together, we get:

\[
8x^2 + 19x + 3
\]

Thus, the polynomial that represents the sum is:

\[
\boxed{8x^2 + 19x + 3}
\]