Find the Coefficient of x17 in a Tricky Polynomial Product

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In summary, a quick little number puzzle is a brain teaser or logic game that involves using numbers and mathematical operations to reach a specific outcome. To play, you are given a set of numbers and a goal to reach, and must use math operations to solve it. The benefits include improving critical thinking and problem-solving skills. There are different types of number puzzles, such as Sudoku and KenKen, and they can be found in puzzle books, newspapers, and online sources.
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Char. Limit
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Quick! Without factoring or using any multinomial theorems, give me the coefficient of x17 in the polynomial product:

(x3+23x)(x6+35x4+1685)(x19+1246x9)

Can you do it?
 
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  • #3
it is 0.
 
  • #4
Yes, it is 0, as can be proven using just the properties of even and odd functions.
 
  • #5


Yes, I can do it. The coefficient of x17 can be found by multiplying the coefficients of x in each term of the polynomial product. In this case, the coefficient of x in the first term is 1, the coefficient of x in the second term is 35, and the coefficient of x in the third term is 1246. Therefore, the coefficient of x17 in the polynomial product is 1*35*1246 = 43510.
 

Related to Find the Coefficient of x17 in a Tricky Polynomial Product

1. What is a quick little number puzzle?

A quick little number puzzle is a type of brain teaser or logic game that involves using numbers and mathematical operations to solve a problem or reach a specific outcome.

2. How do you play a quick little number puzzle?

To play a quick little number puzzle, you are typically given a set of numbers and a specific goal or outcome to reach. You must use the given numbers and apply mathematical operations such as addition, subtraction, multiplication, and division to reach the desired outcome.

3. What are the benefits of solving quick little number puzzles?

Solving quick little number puzzles can improve critical thinking, problem-solving skills, and mental math abilities. It can also provide a fun and challenging way to exercise the brain.

4. Are there different types of quick little number puzzles?

Yes, there are many different types of quick little number puzzles, including Sudoku, KenKen, Kakuro, and various types of number grid puzzles. Each type has its own unique rules and challenges.

5. Where can I find quick little number puzzles to solve?

Quick little number puzzles can be found in puzzle books, newspapers, online websites and apps, and even in some educational textbooks. There are also many puzzle books and websites dedicated specifically to number puzzles.

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