Q. Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial. 6b3−10b2
Identify GCF: Identify the greatest common factor (GCF) of the terms 6b3 and 10b2. The GCF is the highest number that divides both coefficients (6 and 10) and the highest power of b that is in both terms.The coefficients 6 and 10 are both divisible by 2. The variable part, b3 and b2, share a common factor of b2 since that is the highest power of b that divides both terms.Therefore, the GCF is 10b22.
Divide terms: Divide each term by the GCF to find the remaining factors.For the term 6b3, divide by 2b2 to get 3b.For the term 10b2, divide by 2b2 to get 5.
Write factored form: Write the original polynomial as the product of the GCF and the remaining factors.The factored form of the polynomial is 2b2(3b−5).