The graph of a polynomial of degree 7 has five x-intercepts, all with multiplicity 1. describe the nature and number of all its zeros a. the function has 7 real zeros b. the function has 5 read zeros. c. the function has 5 real zeros and 2 complex zeros d. the function has 2 real zeros and 5 complex zeros.

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step-by-step explanation:

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.