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Factor out the greatest common factor. If the greatest common factor is , just retype the polynomial.
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Q. Factor out the greatest common factor. If the greatest common factor is , just retype the polynomial.
- Identify GCF: Identify the greatest common factor (GCF) of the terms and . The GCF is the highest number that divides both coefficients ( and ) and the highest power of that is in both terms.The coefficients and have a GCF of . The variable part, and , have a GCF of since that is the highest power of that both terms share.
- Write Terms as Product: Write each term as a product of the GCF and the remaining factors.For , the GCF is , so the remaining factor is . Therefore, can be written as .For , the GCF is , so the remaining factor is . Therefore, can be written as .
- Factor Out GCF: Factor out the GCF from the polynomial . Using the expressions from the previous step, we can write the polynomial as: Now, factor out the GCF, , from both terms:
