Which of the following shows the complete factorization of x3 + 3x2? Options: A. x2(x - 3) B. x(x2 + 3x) C. x2(x2 + 3) D. x2(x + 3)
Factorization of expressions is important if we want to simplify a complicated expression. Often, factorized form is easier to read or analyze as compared to the expanded form.
Answer: The factorized form of x3 + 3x2 is x2(x + 3).
Let's understand the solution.
Given expression: x3 + 3x2
To factorize the equation, we take x2 common.
Therefore, x3 + 3x2 = x2(x + 3).