Q. Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.4f2+10f
Identify GCF: Identify the greatest common factor (GCF) of the terms 4f2 and 10f. The GCF is the highest number that divides both coefficients (4 and 10) and the highest power of the variable that is common to both terms. The coefficients 4 and 10 are both divisible by 2, and the variable f is common to both terms with the lowest power being f1.
Calculate GCF: Calculate the GCF of the coefficients 4 and 10, which is 2. Since f is the common variable and the lowest power of f in both terms is f1, the GCF of the polynomial is 2f.
Divide by GCF: Divide each term of the polynomial by the GCF to factor it out. For the term 4f2, divide by 2f to get 2f. For the term 10f, divide by 2f to get 5.
Write Factored Form: Write the factored form of the polynomial using the GCF. The polynomial 4f2+10f factored by the GCF 2f is 2f(2f+5).