Posted by **Ms.Ellis** on Tuesday, July 26, 2011 at 4:03pm.

Reiny can you show me how to check this problem.

5a^8-20a^7-25a^6

=5a^6(a^2-4a-5)

=5a^6(a^2-5a+a-5)

=5a^6(a(a-5)+1(a-5)

=5a^6(a-5)(a+1) (answer)

- Math -
**Henry**, Wednesday, July 27, 2011 at 3:06pm
The GCF is always = to 0r less than the smallest coefficient:

GCF =< 5.

When a variable is involved, choose the

common variable of lowest degree(smallest exponent). All of this has been properly done.

Answer check:

Perform the multiplication; the product

should be identical to the expression

that was given.

5a^6(a-5)(a+1) =

(5a^7-25a^6)(a+1) =

5a^8 + 5a^7 - 25a^7 -25a^6 =

Combine like-terms:

5a^8 - 20a^7 - 25a^6.

Your answer is correct!

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