Simplify (14x2−3x+2.25)+(0.75x2+2x−14)

Question

.(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.

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

2. Combine the \(x\) terms:
   \( -3x + 2x = -1x \) or simply \(-x\)

3. Combine the constant terms:
   \( 2.25 - 14 = -11.75 \)

Putting it all together, we have:

\[ 14.75x^2 - x - 11.75 \]

Thus, the simplified expression is:

\[ \boxed{14.75x^2 - x - 11.75} \]