Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1: To factorize the expression $x^2 + 3x$, we need to find two factors of $3x$ whose sum is $3x$ itself.
The factors of $3x$ are $x$ and $3x$.
The sum of these factors is $x + 3x = 4x$, which is not equal to the required expression $3x$. Therefore, we need to find another way to factorize the expression.
Step 2: Notice that the expression $x^2 + 3x$ is a quadratic expression with a positive leading coefficient.
We can factorize such expressions using the formula $ax^2 + bx + c = (x - p)(x - q)$, where $p$ and $q$ are the roots of the quadratic equation $ax^2 + bx + c = 0$.
Final Answer
The factorization of $x^2 + 3x$ is $(x)(x + 3)$.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students