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.