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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 Factors: We need to find the greatest common factor (GCF) of the terms and . To do this, we will list the factors of the coefficients and the powers of .Factors of : , , , Factors of : , , , Both terms have an '' in common, so we will also consider the lowest power of '' present in both terms.
- Find Common Factors: The common factors of the coefficients and are and . Since we are looking for the greatest common factor, we choose . Both terms also have at least one 'f' in common, so we include 'f' in the GCF. The GCF is therefore .
- Divide by GCF: Now we will divide each term by the GCF to find the remaining factors.
- Write Original Polynomial: We can now write the original polynomial as the product of the GCF and the remaining factors.
