Factorise into two linear factors 4x to the power of two, times x - 3

Let's factorize the given expression:

Given expression:
\[ 4x^2 \times (x - 3) \]

This can be rewritten as:
\[ 4x^3 - 12x^2 \]

Now, let's factorize this expression:

First, factor out the common factor, which is \(4x^2\):
\[ 4x^2(x - 3) \]

So, the factorized form of the expression is:
\[ 4x^2(x - 3) \]

However, this isn't in the form of two linear factors because the expression includes a quadratic term \(4x^2\). If you need the expression to be strictly in linear factors, it is already in its simplest form in the context of this expression.

Would you like more details on this, or do you have any questions? Here are some related questions that might interest you:

1. How do you factor a quadratic expression into linear factors?
2. What is the difference between linear and quadratic factors?
3. Can all cubic expressions be factored into linear factors?
4. How do you identify common factors in polynomial expressions?
5. What are the applications of factorization in solving equations?

**Tip:** Always look for the greatest common factor (GCF) first when factorizing any polynomial.

Learn how to factorize the expression 4x^2(x - 3) into two linear factors step-by-step. This problem involves algebraic concepts like polynomial factorization and is suitable for high school students.

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