Q. Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial. 8b3−10b
Find GCF Factors: We need to find the greatest common factor (GCF) of the terms 8b3 and 10b. To do this, we will list the factors of the coefficients and the variables separately.Factors of 8: 1,2,4,8Factors of 10: 1,2,5,10Common factors of the coefficients: 2Now, for the variable part, both terms have 'b' in common. The lowest power of 'b' in both terms is b1.So, the GCF of 8b3 and 10b is 10b2.
Divide by GCF: Now we will divide each term by the GCF to find the remaining factors.For 8b3, we divide by 2b to get 4b2.For 10b, we divide by 2b to get 5.
Write Factored Form: We can now write the original polynomial as the product of the GCF and the remaining factors.8b3−10b=2b(4b2−5)This is the factored form of the polynomial.