Given the "x-games" on the right side, identify the factors that would make each one true. NOTE: some items may be used more than once, others may not be used at all -9 -45 -5 -4

Please answer with explanation

Which binomial is a factor of 2x3-3x²-98x-48? Select one: a. x+12 b. x+6 c. x+16 O d. x+8

On an 18-hole golf course, there are par-3 holds, par-4 holes, and par-5 holes. A golfer who shoots par on every hole has a score of 72. The course designers want there to be the same number of par-3 holes as there are par-5 holes. What are the different combinations of each type of hole on the golf course could there be?

Sessa, an ancient wise man, visited the king of his nation and showed him a new game.  The board was 8 squares by 8 squares.  Two players would be given 16 pieces each, lined up on either side of the board.  The pieces moved in set ways, and the purpose of the game was to move your pieces to trap the King piece of the other player. As you have probably figured out, Sessa invented chess. His king was utterly delighted at the game - war without bloodshed! - and asked Sessa what he would like in return.  In the ancient bombastic style, the King said the request could include up to half of his kingdom.  (That was not meant literally.)  Sessa asked for the game board to be brought before him. "Highness," he said, "I ask for a grain of rice on the first square.  Tomorrow, two grains of rice on the second square.  The day after, 4 grains of rice on the third square.  On the fourth day, 8 grains of rice.  And so on, until the board is full in two months." The king and his ministers laughed…

Sessa, an ancient wise man, visited the king of his nation and showed him a new game.  The board was 8 squares by 8 squares.  Two players would be given 16 pieces each, lined up on either side of the board.  The pieces moved in set ways, and the purpose of the game was to move your pieces to trap the King piece of the other player. As you have probably figured out, Sessa invented chess. His king was utterly delighted at the game - war without bloodshed! - and asked Sessa what he would like in return.  In the ancient bombastic style, the King said the request could include up to half of his kingdom.  (That was not meant literally.)  Sessa asked for the game board to be brought before him. "Highness," he said, "I ask for a grain of rice on the first square.  Tomorrow, two grains of rice on the second square.  The day after, 4 grains of rice on the third square.  On the fourth day, 8 grains of rice.  And so on, until the board is full in two months." The king and his ministers laughed…

Sessa, an ancient wise man, visited the king of his nation and showed him a new game.  The board was 8 squares by 8 squares.  Two players would be given 16 pieces each, lined up on either side of the board.  The pieces moved in set ways, and the purpose of the game was to move your pieces to trap the King piece of the other player. As you have probably figured out, Sessa invented chess. His king was utterly delighted at the game - war without bloodshed! - and asked Sessa what he would like in return.  In the ancient bombastic style, the King said the request could include up to half of his kingdom.  (That was not meant literally.)  Sessa asked for the game board to be brought before him. "Highness," he said, "I ask for a grain of rice on the first square.  Tomorrow, two grains of rice on the second square.  The day after, 4 grains of rice on the third square.  On the fourth day, 8 grains of rice.  And so on, until the board is full in two months." The king and his ministers laughed…

Sessa, an ancient wise man, visited the king of his nation and showed him a new game.  The board was 8 squares by 8 squares.  Two players would be given 16 pieces each, lined up on either side of the board.  The pieces moved in set ways, and the purpose of the game was to move your pieces to trap the King piece of the other player. As you have probably figured out, Sessa invented chess. His king was utterly delighted at the game - war without bloodshed! - and asked Sessa what he would like in return.  In the ancient bombastic style, the King said the request could include up to half of his kingdom.  (That was not meant literally.)  Sessa asked for the game board to be brought before him. "Highness," he said, "I ask for a grain of rice on the first square.  Tomorrow, two grains of rice on the second square.  The day after, 4 grains of rice on the third square.  On the fourth day, 8 grains of rice.  And so on, until the board is full in two months." The king and his ministers laughed…

Simplify: (a) 157 and 15+(7) (b) 148 and 14+(8) .

There is another surprising way of characterizing the ged. For two numbers a and b, we think about all the numbers you can get by adding multiples of a and b together. We can imaging this by thinking of a and b as dollar values of bills and then asking what prices can paid with them. For example, if your country only issues a 6 dollar bill and a 14 dollar bill, can you buy something that costs 10 dollars? Yes - you pay with two 14 dollar bills and get three 6 dollar bills back in change. Can you buy something that costs 15 dollars? No - all the bills are worth an even number of dollars so there is no way to get an odd net transaction. Formulated more abstractly: Let S(a, b) = {na + mb : n, m e Z}. Problem 0.1. If c is a common divisor of a and b then c|s for all s E S(a,b) Problem 0.2. If s e S(a, b) then gcd(a, b)|s. Problem 0.3. If s e S(a, b) then sx e S(a, b) for all a € Z Problem 0.4. If S(a, b) = Z if and only if 1 E S %3D Problem 0.5. The set S(0,0) is {0}. For any other a and b…