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The Deep Dive
To factor the expression \( -3b - 15 \), you start by looking for the greatest common factor (GCF) of the terms. Here, both terms share a GCF of -3. Factoring that out, you get: \[ -3(b + 5) \] And there you have it, the expression \( -3b - 15 \) is factored as \( -3(b + 5) \)! For a fun twist, did you know that factoring is like unlocking a code? Just like a hidden treasure map, each factor holds secrets to the original expression! The original one's treasure—its behavior in equations—becomes clearer when you factor it out. And speaking of factors, they turn up everywhere! From simplifying fractions to solving polynomial equations, knowing how to factor expressions gives you a key toolkit in algebra. Next time you’re facing a complex polynomial, remember: it’s often just a matter of uncovering the hidden factors!