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The expression \( 2x^4 - 26x^3 + 24x^2 \) can be factored completely as:

\[
2x^2(x - 12)(x - 1)
\]

Would you like more details or further clarification on this process?

Here are some related questions to expand on this:

1. How can you check if the factorization is correct?
2. What are the roots of the factored equation?
3. How can this factorization help in solving the equation \( 2x^4 - 26x^3 + 24x^2 = 0 \)?
4. What methods can be used to factor more complex polynomials?
5. How does factoring help in simplifying algebraic expressions?

**Tip:** Always look for the greatest common factor (GCF) first when factoring polynomials, as it simplifies the remaining steps.

Factor completely the expression 2x^4 - 26x^3 + 24x^2.

Learn how to factor the polynomial 2x^4 - 26x^3 + 24x^2 completely. This solution involves factoring out the greatest common factor (GCF) and using techniques for factoring quadratic-like expressions. Suitable for high school students studying Algebra.

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