SOLUTION: Hi, I need help with this problem: Graph the polynomial function P(x)=x^5-4x^3 Thank you very much.

Algebra ->  Graphs -> SOLUTION: Hi, I need help with this problem: Graph the polynomial function P(x)=x^5-4x^3 Thank you very much.       Log On


   

Question 448563: Hi,
I need help with this problem:
Graph the polynomial function P(x)=x^5-4x^3
Thank you very much.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Graph the polynomial function 

P(x)=x^5-4x^3  turning points: 5x^4 - 12x^2, x^2(5x^2-12)  x = ±sqrt%2812%2F5%29

P(x)=x^3(x^2-4) 

P(x)=x^3(x +2)(x-2)  rational roots: 0, -2, 2

 turning points: 5x^4 - 12x^2, x^2(5x^2-12)  x = ±sqrt%2812%2F5%29 = ± 1.55

 (1.55, -5.958) and (-1.55, 5.958)