6
3b3 + 10b2 = 0
a) find the gcf
b) factor out the gcf
c) what are the solutions?

Step-by-step explanation:

The GCF is the common "thing" in each one of the terms in our polynomial.  Since 3 doesn't divide evenly out of 10, 3 is not a GCF.  But b-squared is common in both.  So for part A. the GCF is b-squared.

part B.  Factor out the GCF:

For part C. What are the solutions?  The solutions are found in the Zero Product Property which states that if the factors of a polynomial, when multiplied together, equal 0, then either one of the factors or both of the factors have to equal 0 because 0 times anything equals 0.  That means that

and/or 3b + 10 = 0

Solving the first equation:

and b = 0.

Solving the second equation:

3b + 10 = 0 and

3b = -10 so

answer are

step-by-step explanation:

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step-by-step explanation:

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