Factor x^4+27x. Please! I don't even know where to start.

Algebra
Tutor: None Selected Time limit: 1 Day

Factor x^4+27x. Please! I don't even know where to start.

Sep 8th, 2015

Thank you for the opportunity to help you with your question! Hope your day is going well!

First step, you look to see if there are any common factors. There is, x. So factor out an x

x(x^3+27)

Notice this is a sum of cubes

a3 + b3 = (a + b)(a2ab + b2)

a=x

b= 3

(x^3+27)= (x+3)(x^2-3x+9)

x(x+3)(x^2-3x+9)

Now we will see if we can factor (x^2-3x+9)

It is not factorable, so you are done.

Please let me know if you need any clarification. I'm always happy to answer your questions. Leave a positive review if you are happy!
Sep 8th, 2015

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