Q. Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial. 2b2+4b
Identify GCF of Terms: Identify the greatest common factor (GCF) of the terms 2b2 and 4b. The GCF is the highest number that divides both coefficients and the highest power of b that is in both terms.For the coefficients 2 and 4, the GCF is 2. For the variable b, since the smallest power of b in both terms is b1, the GCF is b.Therefore, the GCF of 2b2 and 4b is 4b2.
Divide by GCF: Divide each term by the GCF to find the remaining factors.For the term 2b2, dividing by 2b gives us b.For the term 4b, dividing by 2b gives us 2.
Write Original Polynomial: Write the original polynomial as the product of the GCF and the remaining factors.2b2+4b=2b(b+2)