You might be asked to factor an algebraic expression on the GED math test. When you factor something all you need to do is provide the largest possible numbers that were multiplied to get to that algebraic expression. Let’s say you’re given
6n² + 15n
What numbers when multiplied will give you both 6 and 15?
Six can be multiplied by one to get 6, but six can’t be multiplied by anything to get 15, so move on.
How about 3? Yes three can be multiplied by 2 to get 6 and by 5 to get 15.
So provide the threes on both sides as well as what you need to multiply the threes by to get 6 and 15. Break the variables apart from the coefficients as well.
Now take the largest terms that both sides have in common, 3 and n, and put them outside the parentheses.