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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

 

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