SOLUTION: Hi, My question is similar to 7723, but I'm not sure what to do with the square. f(x)=x(x-1)(x-4)^2 use interval notation to give all values of x where f(x)>0 I think th

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: Hi, My question is similar to 7723, but I'm not sure what to do with the square. f(x)=x(x-1)(x-4)^2 use interval notation to give all values of x where f(x)>0 I think th      Log On

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Question 16521: Hi,
My question is similar to 7723, but I'm not sure what to do with the square.
f(x)=x(x-1)(x-4)^2 use interval notation to give all values of x where f(x)>0

I think the roots of f(x) = 0 are 1,0 and 4, but I'm not sure.
Any help is much appreciated.

Answer by rapaljer(4551) About Me  (Show Source):
You can put this solution on YOUR website!
Start by graphing the function, and determine in what intervals of x the graph is above the x-axis. Notice that the roots (zeros) are at x= 0, x=1, and x=4, so the graph should cover these values of x and a little more on each side. Let's say graph from x=-2 to x= 6, and y from -20 to 20.
+graph+%28300%2C300%2C-2%2C6%2C-20%2C20%2Cx%2A%28x-1%29%2A%28x-4%29%5E2%29

After drawing the graph, notice that the graph is above the x-axis from
(-inf, 0) union (1,4) union (4, inf).

R^2 at SCC