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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: To factor out the greatest common factor (GCF) from the polynomial , we first need to identify the GCF of the two terms. The GCF is the highest factor that divides both terms completely.For , the prime factorization is .For , the prime factorization is .The common factors are and (or ).Therefore, the GCF is .
- Divide by GCF: Now we divide each term by the GCF to find the remaining factors.For the term , when we divide by , we get .For the term , when we divide by , we get .
- Write Factored Form: We can now write the original polynomial as the product of the GCF and the remaining factors.= = This is the factored form of the polynomial.
