Answer :

Answer:

Step-by-step explanation:

To write the given expression \( X^3 - 7x \, 7x^5 - 19 \, x^2 \) in standard form, we need to organize the terms according to their degrees in descending order. The standard form of a polynomial is written as \( a_nx^n + a_{n-1}x^{n-1} + \cdots + a_1x + a_0 \), where the terms are arranged from the highest degree to the lowest degree.

Let's first clarify and organize the terms in the given expression:

1. \( X^3 \)

2. \( -7x \)

3. \( 7x^5 \)

4. \( -19 \)

5. \( x^2 \)

Next, we rewrite the polynomial with the terms in descending order of their exponents:

\[ 7x^5 + x^3 + x^2 - 7x - 19 \]

This is the standard form of the polynomial.