Q. Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.2b3+8b
Identify GCF: Identify the greatest common factor (GCF) of the terms 2b3 and 8b. The GCF is the highest number that divides both coefficients (2 and 8) and the highest power of b that is in both terms. The coefficients 2 and 8 have a GCF of 2. Since the smallest power of b in both terms is b1, the GCF is 8b0.
Divide terms: Divide each term by the GCF to find the remaining factors. For the term 2b3, dividing by 2b gives us b2. For the term 8b, dividing by 2b gives us 4.
Write factored form: Write the original polynomial as the product of the GCF and the remaining factors. The factored form of the polynomial is 2b(b2+4).