SOLUTION: Find the zeros of the polynomial x^5-6x^4+9x^3.
Enter your answers in increasing order. Enter “none” in all entry areas if there are no zeros.
Algebra ->
Finance
-> SOLUTION: Find the zeros of the polynomial x^5-6x^4+9x^3.
Enter your answers in increasing order. Enter “none” in all entry areas if there are no zeros.
Log On
Question 1014681: Find the zeros of the polynomial x^5-6x^4+9x^3.
Enter your answers in increasing order. Enter “none” in all entry areas if there are no zeros. Answer by ikleyn(52785) (Show Source):
You can put this solution on YOUR website! .
Find the zeros of the polynomial x^5-6x^4+9x^3.
Enter your answers in increasing order. Enter “none” in all entry areas if there are no zeros.
---------------------------------------------------
Factor out :
= .
Now solve this polynomial equation:
= .
Its 3 roots are x = 0 of multiplicity 3.
Next you need to solve this quadratic equation
= .
Notice that the left side is .
So, your equation is
= .
It has the root x = 3 of multiplicity 2.
Answer. The roots are x=0 of multiplicity 3 and x=3 of multiplicity 2.
