Binomial multiplication (foil) paper (x-2)(x-4)

Step-by-step explanation:

Given:

Binomial is .

In FOIL method, we first multiply the first term of each binomial. First terms are and .

⇒

Next, we multiply the outer terms. Outer terms are and -4.

⇒

Next, we multiply the inner terms. Inner terms are -2 and .

Lastly, we multiply the last terms of each binomial. Last terms are -2 and -4.

Now, we add all the results to get the answer.

Therefore,

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.

m=-16

step-by-step explanation: