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!

Guest Feb 27, 2019

#1**+1 **

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

CPhill Feb 27, 2019