Factoring
Factor by extracting the greatest common factor, noting that the leading coefficient is negative.
Step 1 — Find the GCF: Ignoring the signs, find the GCF of and . Factor each into primes: and . The common factors are three s, so the numerical GCF is . Because the expression has a negative leading coefficient, use as the GCF.
Step 2 — Rewrite each term using the GCF: Express and , giving .
Step 3 — Factor out the GCF: .
Step 4 — Check by multiplying: ✓.
The factored form is . Factoring out the negative GCF reverses the signs inside the parentheses — both terms that were originally negative appear as positive inside .
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Ch.7 Factoring - Elementary Algebra @ OpenStax
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