Can someone explain to me what distributive property is?
1.3(x+ 1)
2.5(x+ 8)
3.(x- 6)
4.7(x- 2)

3x+3, 5x+40, 4x-24, 7x-14

Step-by-step explanation:

The Distributive property allows you to multiply a sum by multiplying each number in the parentheses separately and then adding the products. This is incredibly useful when the terms in the parentheses cannot be added easily.

1. 3(x+1)

3*x+3*1

3x+3

2. 5(x+8)

5*x+5*8

5x+40

3. 4(x-6)

4*x-4*6

4x-24

4. 7(x-2)

7*x-7*2

7x-14

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.