Which expression is equivalent to the polynomial given below? \( 54 x+30 \) A. \( 6(9 x+4) \) B. \( 6(9 x+5) \) C. \( 9(5 x+5) \) D. \( 6(9 x+30) \)
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Beyond the Answer
To find an expression equivalent to \( 54x + 30 \), we can factor out the greatest common factor, which is 6. By factoring, we get: \( 54x + 30 = 6(9x + 5) \) So, the correct answer is B. \( 6(9x + 5) \). This expression simplifies down to the original polynomial when distributed back, making it a neat way to reveal the structure of the polynomial while keeping it fun and engaging through the act of factoring!
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