Sure, let's factorize the given expression step-by-step:
Given expression: \( x^2 + 3x \)
1. Identify common factors:
- Look at each term in the expression \( x^2 \) and \( 3x \).
- Both terms contain a factor of \( x \).
2. Factor out the common factor:
- The common factor \( x \) can be factored out from each term.
- This can be done by dividing each term by \( x \) and placing \( x \) outside a set of parentheses.
Thus, the factorization is:
[tex]\[ x(x + 3) \][/tex]
So, the fully factorized form of the expression \( x^2 + 3x \) is:
[tex]\[ x(x + 3) \][/tex]
