Simplify the expression by factoring it. Find the common factor.
We have hundreds of course questions with personalized recommendations + Account 100% premium
Simplify the expression by factoring it. Find the common factor.
First, identify the coefficients and the terms in the expression .
Break down each term:
can be written as .
can be written as .
The common factor of these two terms is .
Therefore, the factored form of the expression is , and the common factor is .
Break down the expression into basic terms:
\( 4x^2 + 6x \)
Check if any larger number divides both terms! Since 5 divides 5x and 5 divides 10, and no number larger than 5 divides both, then 5 is the GCF.
Break each term into its prime factors! Write 5x as 5·x and 10 as 2·5. The common factor jumps out: it's 5!
No, because x doesn't appear in the term 10. A common factor must divide every single term in the expression.
Use the distributive property to expand your answer! matches the original expression, so it's correct!
Sometimes expressions can't be factored using common factors. But in , both terms are multiples of 5, so factoring is definitely possible!
Get unlimited access to all 18 Algebraic Technique questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime