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Medal to most helpful in figuring this out. Without plotting any points other than intercepts, draw a possible graph of the following polynomial: f(x) = (x + 8)^3(x + 6)^2(x + 2)(x − 1)^3(x − 3)^4(x − 6).
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everything ^3 slices through the x intercept in a S shape. everything ^2 hits the x intercept as the vertex of a parabola. everything ^1 slices through the x intercept as a line. ill draw a pic...
\[f(x)=(x+8)^{3}(x+6)^{2}(x + 2)(x − 1)^{3}(x − 6)\]
Sounds great. thanks.
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