Answer:
4x
Step-by-step explanation:
When you divide the #'s by 4x you get an expression that cannot be divided any further.
Answer: [tex]4x(2x^2+7x+10)[/tex]
Step-by-step explanation:
The Greatest Common Factor (GCF) of a polynomial is defined as the largest monomial that is a factor of all the terms of the polynomial.
In this case, given this polynomial:
[tex]8x^3 + 28x^2 + 40x[/tex]
You can factor out the Greatest Common Factor applying this procedure:
1. Write the terms of the polynomial in prime factor form:
[tex]8x^3=2*2*2*x*x*x\\\\28x^2=2*2*7*x*x\\\\40x=2*2*2*5*x[/tex]
2. Identify the factors the terms have in common (this will be the Greatest Common Factor). In this case this is:
[tex]GCF=2*2*x=4x[/tex]
3. Finally, rewrite the expression in factor form:
[tex]4x(2x^2+7x+10)[/tex]
