Question

Simplify (14x2−3x+2.25)+(0.75x2+2x−14)
(
1
4
𝑥
2
−
3
𝑥
+
2.25
)
+
(
0.75
𝑥
2
+
2
𝑥
−
1
4
)
.(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 first combine like terms.

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

2. **Combine the \(x\) terms:**
\[
-3x + 2x = -1x \quad \text{or simply} \quad -x
\]

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

Now, we can write the combined polynomial as:
\[
14.75x^2 - x - 11.75
\]

Thus, the simplified expression is:
\[
\boxed{14.75x^2 - x - 11.75}
\]