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Please help. I'm not sure if I am correct about the graphs. Please show work because I need to understand this. Sorry. Thank you!

 Feb 27, 2019
 #1
avatar+101856 
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First one

P(x) = x^2 ( x - 1)^2(x - 5/2)^2   =

 

x^2 ( x^2 - 2x + 1) ( x - 5/2)^2  =

 

(x^4 - 2x^3 + x^2)  (x^2 - 5x + 25/4)  =

 

x^6 - 7 x^5 + (69 x^4)/4 - (35 x^3)/2 + (25 x^2)/4

 

First graph....

 

Odd is correct....the x axis is "cut" 5 times

The sign of the leading coefficient is negative because it is UP on the left and DOWN on the right

 

 

Second graph....Even is correct....tthe x axis is cut 6 times

The lead coefficient is positive because it is UP  on both sides of the y axis

 

 

cool coolcool

 Feb 27, 2019
edited by CPhill  Feb 27, 2019

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