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What is the completely factored form of 4x + 12?
A4(x+8)
B4(x+3)
C4(x-3)
Dx(4+12)
Answer & Solution
Correct answer: B. 4(x+3)
1. Find the GCF of 4x and 12, which is 4.
2. Rewrite each term as a product using the GCF: 4x is 4 times x, and 12 is 4 times 3.
3. Use the Distributive Property in reverse to write 4x + 12 as 4(x + 3).
4. Check by multiplying: 4 times x plus 4 times 3 gives back 4x + 12.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 7 "Factoring", section 7.1 Greatest Common Factor and Factor by Grouping_
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