Homework Help

what is  x^9 - x^5?

user profile pic

sophiaba | Student, Grade 10 | (Level 1) eNoter

Posted October 12, 2011 at 4:43 AM via web

dislike 1 like

what is  x^9 - x^5?

1 Answer | Add Yours

user profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted October 12, 2011 at 5:16 AM (Answer #2)

dislike 0 like

First we will simplify by factoring.

We will factor x^5 from both terms.

`x^9 - x^5= x^5(x^4 -1) = x^5 (x^2-1)(x^2+1)= x^5(x-1)(x+1)(x^2+1)`

`==> x^9 - x^5 = x^5(x^2+1)(x-1)(x+1)`

 If you need to find the roots.

==> x1= 0

==> x2= 1

==> x3 = -1

==> x4= i

==> x5= -i

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes