1. Al sumar los polinomios $7 x^{3}$ -
\[
\begin{array}{l}
14 x^{2}+6 x+11 ;-5 x^{3}+9 x^{2}-x+ \\
25 ;-x^{3}-x^{2}-4 x-1 ; \text { el }
\end{array}
\]

Step 1 ：Given three polynomials: \(7x^{3} - 14x^{2} + 6x + 11\), \(-5x^{3} + 9x^{2} - x + 25\), and \(-x^{3} - x^{2} - 4x - 1\).

Step 2 ：To add these polynomials together, we need to add the coefficients of the like terms together. The like terms are the terms that have the same variable and exponent.

Step 3 ：Adding the coefficients of the \(x^{3}\) terms: \(7 - 5 - 1 = 1\).

Step 4 ：Adding the coefficients of the \(x^{2}\) terms: \(-14 + 9 - 1 = -6\).

Step 5 ：Adding the coefficients of the \(x\) terms: \(6 - 1 - 4 = 1\).

Step 6 ：Adding the constant terms: \(11 + 25 - 1 = 35\).

Step 7 ：So, the sum of the polynomials is \(x^{3} - 6x^{2} + x + 35\).

Step 8 ：Final Answer: The sum of the polynomials is \(\boxed{x^{3} - 6x^{2} + x + 35}\).