Match the rational expressions to their quotients

The quotient (x + 2) ⇒ the expression

The quotient (x - 3) ⇒ the expression

The quotient (x - 2) ⇒ the expression

The quotient (x + 7) ⇒ the expression

Step-by-step explanation:

∵

∵

∴ The quotient is x + 2

∵

∵

∴ The quotient is x - 3

∵

∵

∴ The quotient is x - 2

∵

∵

∴ The quotient is x + 7

Given rational expressions:

1.

2.

3.

4.

To match with given Quotients.

Quotients are x + 7 , x - 3 , x + 2 and x - 2

We Divide given expression using long division of the polynomilas.

All divisions done in pics.

1. On Dividing we get,

   Quotient = x + 7     and   Remainder = 12

2. On Dividing we get,

   Quotient = x - 3     and   Remainder = -5

3. On Dividing we get,

   Quotient = x + 2     and   Remainder = 6

4. On Dividing we get,

   Quotient = x - 2     and   Remainder = -6

Therefore,

Quotient                              Expressions

29.5977692753

step-by-step explanation:

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.