Choose the correct simplification of the expression (2x − 6)(3x2 − 3x − 6).

6x3 − 24x2 + 6x + 36
6x3 − 24x2 + 6x − 36
6x3 + 24x2 − 6x + 36
6x3 − 24x2 + 6x + 12

Option A is correct.

Correct simplification of the given expression =

Step-by-step explanation:

Given the expression:

The following steps required for the multiplication of polynomials are:

Apply these steps to the given expressions;

when you multiply two terms together you must multiply the coefficient (numbers) and add the exponent.

⇒

Combine like terms;

Therefore, the correct simplification of the given expression 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.

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula