To factor the expression 3x² x 7 completely, we start by identifying any common factors and organizing the expression into its simplest form.
The expression can be rewritten as:
3x² × 7 = 21x²
Next, we look for factors of 21 and x². The number 21 can be factored into 3 and 7. The variable x² is already in its simplest form.
Thus, we have:
- Factors of 21: 3 and 7
- Factor of x²: x × x
Putting this all together, the expression can be factored completely as:
3 × 7 × x × x = 21x²
Therefore, the completely factored form of the expression 3x² x 7 is simply 21x², since it cannot be factored further in terms of integers and x.