Question

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

Answer 1

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

Let's break it down step by step:

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

2. **Identify and combine the \(x\) terms:**
\[
-3x + 2x = -1x \quad \text{(or just } -x\text{)}
\]

3. **Identify and combine the constant terms:**
\[
2.25 - 14 = -11.75
\]

Now, putting all the combined terms together, we have:
\[
14.75x^2 - x - 11.75
\]

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