The expression
We factored into basic terms:
What is the common factor of the terms?
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The expression
We factored into basic terms:
What is the common factor of the terms?
To find the common factor of the expression , we need to factor each term. The expression can be rewritten as:
The number 4 is common in both terms, as we can see: .
Hence, the common factor is .
Break down the expression into basic terms:
\( 4x^2 + 6x \)
A common factor must appear in every term. Since only appears in the first term () but not in the second term (), it cannot be the common factor.
Check if that number divides evenly into every term. For , the number 4 divides into (giving ) and into (giving ).
Some expressions don't have common factors, like . But always check first! Look for numbers, variables, or both that appear in every term.
Yes! If every term contains the same variable, it's a common factor. For example, in , both 3 and x are common factors, so you can factor out .
Distribute your answer! If you factor as , multiply it out: ✓
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