Revolution in Russia is the lession

The answers are in the photo. (They are color-coded.)

Step-by-step explanation:

A monarchy, democracy, and communism are different ways to run a government.

A monarchy is usually ruled by someone of royalty, like a king or queen. Typically, they inherit all the power and get to make all the decisions, whether their people like it or not.

In a democracy, the people have many liberties and rights. They get to vote for candidates that represent them that could get elected as a president, minister, mayor, etc. Those elected have to listen to what their people want.

In communism, the government gets to make all the decisions whether it benefits the people or not. This is runned by a single-party, meaning no other parties are allowed to be developed or run.

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.