To factor the expression x³ – 3x² completely, we start by identifying the common factors in the terms. In this case, both terms share a common factor of x².
Factoring out x² from the expression, we get:
x³ - 3x² = x²(x - 3)This means the complete factorization of the expression x³ – 3x² is x²(x – 3). Here, x² represents a double root at x = 0, and x – 3 gives another root at x = 3. So the complete factorization is confirmed as:
x²(x - 3)