What is the product written in scientific notation? (1.18×103)·(9.1×10−6) 1.0738×10−2 1.0738×10−4 10.738×10−3 10.738×10−2

We have been given the product

First of all we multiply 1.18 and 9.1. On multiplying, we get

Now, we multiply

Using the exponent property , we get

Therefore, we have the product

In scientific notation the product is

A is the correct option.

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.