Find a single polynomial function f satisfying all of the following properties: -The polynomial f(x) has degree of 6
-There are zeros at -7,2, and 5
-The graph of f crosses the x-axis at x = -7 and x = 5, but only touches the x-axis x = 2
-As x increases without bound, f(x) decreases without bound.

Answer should be in a SINGLE function

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

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step-by-step explanation:

add a pic of the graph, then ill edit this "answer" and solve it for you : 3

step-by-step explanation:

try soting them out first

step-by-step explanation: