Consider the polynomial function q(x) = x^6 − 3x^5+ 4x^3 − 12x^2 +x − 3. a. divide q by the divisor (x − 3) and rewrite in the form q(x) = (divisor)(quotient) +remainder b. evaluate q(3).

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.

y=sec x is the correct answer

~batmans wife dun dun

1/2(2*4)=6 $$- agahajakanajak