https://file.aiquickdraw.com/mathbot/file/1729814208260trrggnje.jpg

The equation shown in the image is:

\[
y = x^5 - 5x^4 = x^4 (x - 5)
\]

This expression represents a polynomial function, where the factorization of \(x^5 - 5x^4\) has been done to simplify it into \(x^4(x - 5)\).

Key insights:
- The original polynomial is of degree 5.
- Factoring out \(x^4\) simplifies the polynomial.
- The simplified form \(x^4(x - 5)\) reveals the roots more clearly.

Would you like to explore its properties, such as critical points, inflection points, or graphing? Let me know if you want further details or have specific questions.

### 5 Related Questions:
1. What are the roots of the equation \(y = x^5 - 5x^4\)?
2. How do we find the derivative of \(y = x^5 - 5x^4\)?
3. What is the behavior of the function as \(x \to \infty\) or \(x \to -\infty\)?
4. Can we identify turning points or critical points for this function?
5. How does the graph of \(y = x^5 - 5x^4\) look like?

**Tip:** When factoring polynomials, always look for common factors first, as this simplifies the equation and helps in identifying roots.

What is the factorized form of y = x^5 - 5x^4?

Learn how to factorize the polynomial y = x^5 - 5x^4 by factoring out common terms. This algebra problem highlights polynomial factorization techniques suitable for high school students in Grades 10-12.

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