Simplify (14x2−3x+2.25)+(0.75x2+2x−14) .(1 point) The sum of the polynomials is

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To simplify the expression \((14x^2 - 3x + 2.25) + (0.75x^2 + 2x - 14)\), we will combine like terms.

1. **Combine the \(x^2\) terms**:
\[
14x^2 + 0.75x^2 = 14.75x^2
\]

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

3. **Combine the constant terms**:
\[
2.25 - 14 = -11.75
\]

Now, put it all together:
\[
14.75x^2 - x - 11.75
\]

Thus, the simplified form of the sum of the polynomials is:
\[
\boxed{14.75x^2 - x - 11.75}
\]