**HURRY** Which two definitions can be used to describe the volume of a solid?

1) Volume is the distance between two points.

2) Volume is the measurement of the space that a flat surface takes up.

3) Volume is the amount of space that a three-dimensional substance or object occupies.

4) Volume is how much space it takes to fill an object.

5) Volume is the distance around the outside of an object.

Volume is the amount of space that a three-dimensional substance or object occupies.

Volume is how much space it takes to fill an object.

Step-by-step explanation:

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.