Q. Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.10f2+8f
Identify Factors: We need to find the greatest common factor (GCF) of the terms 10f2 and 8f. To do this, we will list the factors of the coefficients and the powers of f.Factors of 10: 1, 2, 5, 10Factors of 8: 1, 2, 8f1, 8Both terms have an 'f' in common, so we will also consider the lowest power of 'f' present in both terms.
Find Common Factors: The common factors of the coefficients 10 and 8 are 1 and 2. Since we are looking for the greatest common factor, we choose 2. Both terms also have at least one 'f' in common, so we include 'f' in the GCF. The GCF is therefore 2f.
Divide by GCF: Now we will divide each term by the GCF to find the remaining factors.10f2÷2f=5f8f÷2f=4
Write Original Polynomial: We can now write the original polynomial as the product of the GCF and the remaining factors.10f2+8f=2f(5f+4)