SOLUTION: What is the process necessary to predict what the graph of the function f(x) = x^4 - 10x^2 + 9 will look like? Use algebra and graphing to confirm all of your predictions. Make

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Question 584189:
What is the process necessary to predict what the graph of the function f(x) = x^4 - 10x^2 + 9 will look like? Use algebra and graphing to confirm all of your predictions. Make sure you explain each step!



Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E4+-+10x%5E2+%2B+9seperate and group them
%28x%5E4+-+x%5E2%29%2B%28-9x%5E2+%2B+9%29 factor out what is needed x^2 and -9
x%5E2%28x%5E2+-+1%29%2B%28-9%29%28x%5E2+-+1%29 factor out x^2-1
%28x%5E2-1%29%28x%5E2-9%29 these are perfect squares factor them to below
%28x-1%29%28x%2B1%29%28x-3%29%28x%2B3%29 set = to 0 to solve for x
x=1,-1,3,-3