Q. Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.9f3+6f
Find GCF of coefficients: First, let's find the GCF of the numerical coefficients 9 and 6. The factors of 9 are 1, 3, and 9. The factors of 6 are 1, 2, 3, and 6. The greatest common factor of 9 and 6 is 3.
Determine common variable power: Next, we look at the variable part. The term 9f3 has f raised to the third power, and the term 6f has f raised to the first power. The greatest power of f that is common to both terms is f to the first power, since we cannot have a power higher than the lowest present, which is 1.
Calculate GCF of numerical and variable parts: Combining the numerical and variable parts, we find that the GCF of 9f3 and 6f is 3f.
Factor out GCF from each term: Now we will factor out the GCF from each term. For the term 9f3, we divide it by the GCF, which gives us 3f9f3=3f2. For the term 6f, we divide it by the GCF, which gives us 3f6f=2.
Write expression in factored form: Finally, we write the original expression as a product of the GCF and the remaining factors. The factored form of 9f3+6f is 3f(3f2+2).