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factor 5x cubed minus 45x

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1 Answer

Start with: 5x3 - 45x.


You can factor out every term starting with constants; in this case 5.


5 ( x3 - 9x)


Next step, factor out the x so


5x (x2 - 9)


Using FOIL, you can then factor out the term in the parenthesis (x2 - 9). Note there is no x term and the 9 is a perfect square. You get (x -3) (x + 3).


So, in its final form you get


(5x )(x - 3) (x + 3)


which can also be written as