Derek, Aaron and Matteo are in the same math class. Their math teacher Mr. C gave them the following expression 7(2+3x) +4x. Mr. C asked his students to create an equivalent expression. Here are the expression his students created Derek created the expression 14 +7x Aaron created 14 + 21x + 28x Matteo created the expression 9 + 7x Create your own expression that is equivalent to 7(2 + 3x) + 4x and determine if any of the expressions created by the boys are correct. If not state who is wrong and what was their mistake.

i can try and you the very best that i can.

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.