Question

what is the factored form of \\(3x + 24y\\)?

• \\(3(x + 8y)\\)
• \\(3xy(x + 8y)\\)
• \\(3(3x + 24y)\\)
• \\(3xy(3x + 24y)\\)

Explanation:

Find the greatest common factor of the terms

$$ \text{GCF}(3x, 24y) = 3 $$

Factor out the GCF from each term

$$
LATEXBLOCK0
$$

Write the polynomial in factored form

$$ 3x + 24y = 3(x + 8y) $$

Answer:

• (A) \(3(x + 8y)\) (Correct answer)
• (B) \(3xy(x + 8y)\)
• (C) \(3(3x + 24y)\)
• (D) \(3xy(3x + 24y)\)