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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.
- Find GCF of terms: We need to find the greatest common factor (GCF) of the terms and . To do this, we look for the highest power of that is in both terms and the largest number that divides both and .The highest power of common to both terms is (since is the lowest power of in the terms).The largest number that divides both and is .Therefore, the GCF is .
- Identify common factors: Now we divide each term by the GCF to find the remaining factors.For the term , we divide by to get .For the term , we divide by to get .
- Divide terms by GCF: We can now write the original polynomial as the product of the GCF and the remaining factors.The factored form of the polynomial is .
