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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 common to both terms and the largest number that divides both coefficients.
- GCF of Coefficients: The GCF of the coefficients and is since is the largest number that divides both and .
- GCF of Variables: The GCF of the variables and is , since is the highest power of that is common to both terms ( is contained in ).
- Combine Coefficients and Variables: Combining the GCF of the coefficients and the variables, we get the GCF of and to be .
- Divide Each Term by GCF: Now we divide each term by the GCF to factor it out:
- Write Original Polynomial with GCF Factored Out: Writing the original polynomial with the GCF factored out, we get:
