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anonymous
 one year ago
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).
anonymous
 one year ago
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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Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1is your function like this: \[{\left( {x + 8} \right)^3}{\left( {x + 6} \right)^2}\left( {x + 2} \right){\left( {x  1} \right)^3}{\left( {x  3} \right)^4}\left( {x  6} \right)\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1the graph of your function crosses the xaxis at points x=8, x=6, x=2, x=1, x=3, and x=6 since at those points your function: \[f\left( x \right) = {\left( {x + 8} \right)^3}{\left( {x + 6} \right)^2}\left( {x + 2} \right){\left( {x  1} \right)^3}{\left( {x  3} \right)^4}\left( {x  6} \right)\] is equal to zero

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1dw:1436971271054:dw

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1now, we have this: \[f\left( {  9} \right) = {\left( {  9 + 8} \right)^3}{\left( {  9 + 6} \right)^2}\left( {  9 + 2} \right){\left( {  9  1} \right)^3}{\left( {  9  3} \right)^4}\left( {  9  6} \right) > 0\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1whereas: \[f\left( 7 \right) = {\left( {7 + 8} \right)^3}{\left( {7 + 6} \right)^2}\left( {7 + 2} \right){\left( {7  1} \right)^3}{\left( {7  3} \right)^4}\left( {7  6} \right) > 0\]

Michele_Laino
 one year ago
Best ResponseYou've already chosen the best response.1so the graph of your function can be like this: dw:1436971518126:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thanks:) You're a LIFESAVER!!!
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