Name the following polynomial:4x^(2)+8n+16

a 2nd degree trinomial

Step-by-step explanation:

First, this polynomial has 3 terms which are 4x^2, 8n, and 16.  This makes this polynomial a trinomial.

Second, the highest degree in this polynomial is a degree of 2 because of the term 4x^2.  This makes this polynomial a 2nd degree polynomial.

Lastly, when you put all of this together you get a 2nd degree trinomial.

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.