The expression \(4x^4 + 4x^3\) can be factored by factoring out the greatest common factor (GCF). In this case, the GCF is \(4x^3\).

Here's the step-by-step process:

1. Identify the GCF of the terms \(4x^4\) and \(4x^3\).
2. The GCF is \(4x^3\).
3. Factor \(4x^3\) out of each term:

\[4x^4 + 4x^3 = 4x^3(x + 1)\]

So, the factored form of the expression is:

\[4x^3(x + 1)\]

Would you like any more details or have any questions about this process?

Here are 5 questions you might want to ask:
1. How do you find the greatest common factor of a polynomial?
2. Can you show me another example of factoring a polynomial?
3. How does factoring help in solving polynomial equations?
4. What is the difference between factoring and expanding polynomials?
5. Can you explain the process of factoring trinomials?

Tip: When factoring polynomials, always look for the greatest common factor first. It simplifies the expression and makes further factoring easier.

Learn how to factor the polynomial 4x^4 + 4x^3 step-by-step. This problem involves polynomials and factoring, essential concepts in algebra. Suitable for high school students.

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