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Factor completely
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Q. Factor completely
- Identify GCF: Identify the greatest common factor (GCF) of the terms.The terms are , , and .The GCF of the coefficients is .The GCF of the powers of (, , ) is .So, the GCF of the entire expression is .
- Factor out GCF: Factor out the GCF from each term.
- Factor quadratic: Factor the quadratic expression inside the parentheses.We need to find two numbers that multiply to (the constant term) and add up to (the coefficient of the term).The numbers that satisfy these conditions are and .So, the quadratic can be factored as .
- Write final form: Write the final factored form by combining the GCF and the factored quadratic.
