x (x+2)^2 (x-1)^4 Have to find zeros, y-intercept and sketch end behavior. (help i got part of it)

Question

x (x+2)^2  (x-1)^4  Have to find zeros, y-intercept and sketch end behavior. (help i got part of it)

anonymous · Answer

Zeros are 0; multiplicity of 1
-3 m= 3
2 m=2

anonymous · Answer

then for y intecept f(0)=0 then i dont know what to do

whpalmer4 · Answer

The y-intercept is simply the value of the expression when x = 0, plug it in and calculate it...

anonymous · Answer

I got zero..

whpalmer4 · Answer

oh, I misinterpreted what you wrote.  how did you come up with a zero at x = -3 and x = 2?

whpalmer4 · Answer

$$x(x+2)^2(x-1)^4 = 0$$$$x = 0$$$$(x+2) = 0$$$$(x-1) = 0$$$$x = 0, 1, -2$$are the zeros, no?

whpalmer4 · Answer

End behavior is just what happens when you stick in a really big positive number and a really big negative number.

anonymous · Answer

Is the part where i get f(0)=0 right?

anonymous · Answer

Then how would I graph it though?..