Posted by **Jessica** on Tuesday, July 21, 2009 at 10:45pm.

Factor the polynomial completely

3m^2 -75

This is how I started to work it out.

(3m-23)(m-5)

- algebra -
**MathMate**, Tuesday, July 21, 2009 at 10:57pm
Start by factoring out the GCF, which in this case is 3.

So you get

3m²-75

=3(m²-25)

The part in parentheses is the difference of two squares. Look up your course notes to see how to factor this part, namely using the standard form:

(A²-B²) = (A+B)(A-B)

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