To factor the common term in the expression \( 14a^2 + 5ax \), we need to identify the greatest common factor (GCF) between both terms.

Both terms share the variable \( a \) as a common factor. Let's factor out \( a \):

\[
14a^2 + 5ax = a(14a + 5x)
\]

So, the factored form is:

\[
a(14a + 5x)
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you find the greatest common factor in algebraic expressions?
2. What are the steps to factor quadratic expressions?
3. How do you factor trinomials like \( ax^2 + bx + c \)?
4. Can you factor expressions with three or more terms?
5. What role do prime factorization and common factors play in factoring?

**Tip:** Always check for a common factor before applying other factoring techniques like grouping or using formulas.

Learn how to factor the common term in the algebraic expression 14a^2 + 5ax. This problem covers essential algebraic concepts such as factoring and finding the greatest common factor (GCF). Suitable for students in Grades 8-10.

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