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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 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 coefficients.
- Find GCF of coefficients: The coefficients are and . The greatest common factor of these numbers is because it is the largest number that divides both without a remainder.
- Determine common variable power: Now we look at the variable part. The term has raised to the third power, and the term has raised to the first power. The highest power of that is common to both terms is to the first power, since is the highest power that divides both and without a remainder.
- Combine numerical and variable parts: Combining the numerical and variable parts, the GCF of and is .
- Factor out GCF from each term: Now we factor out the GCF from each term in the polynomial: So, the polynomial factored by the GCF is .
