AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Factor out the greatest common factor. If the greatest common factor is , just retype the polynomial.
Full solution
Q. Factor out the greatest common factor. If the greatest common factor is , just retype the polynomial.
- Identify GCF: To find the greatest common factor (GCF) of and , we need to consider both the numerical coefficients and the variable parts. The numerical coefficients are and , and their GCF is . For the variable part, both terms have at least , so the GCF includes .
- Express terms as product: Now we express each term as a product of the GCF and the remaining factors. For , we divide it by the GCF, which is , to get . For , we divide it by the GCF, which is , to get .
- Write original polynomial: We can now write the original polynomial as the product of the GCF and the sum of the remaining factors. The polynomial can be written as .
