Simplify completely quantity 4 x squared minus 32 x plus 48 all over quantity 3 x squared minus 17 x minus 6. (1 point) 4 open parentheses x minus 2 over quantity 3 x plus 1 4 open parentheses x minus 2 over quantity 3 x plus 2 4 open parentheses x minus 6 close parentheses over 3 open parentheses x plus 1 close parentheses 4 open parentheses x minus 6 close parentheses over 3 open parentheses x plus 2

Given rational expression is:

Now we can simplify this by factoring as shown below:

Hence final answer is

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.

a triangular prism is a 3 dimensional shape composed of triangles and rectangles. it is made from two triangular bases and three rectangular sides.