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https://math.answers.com/math-and-arithmetic/How_is_multiplying_polynomials_similar_to_multiplying_large_numbers

How is multiplying polynomials similar to multiplying large numbers? - Answers

A large number is a polynomial in which the variable has the value 10. The similarity is easy to see in 2478 = 2*103 + 4*102 + 7*101 + 8 and 2*x3 + 4*x2 + 7*x1 + 8 In multiplying large numbers, you would take the digits of one number, one by one, and multiply them into the digits of the other number. In each case, the product is given the place value that is the sum of the place values of the two digits. Now, think of each digit in the number as the coefficient of the appropriate power of ten. And the two processes can be seen to be the same.



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How is multiplying polynomials similar to multiplying large numbers? - Answers

https://math.answers.com/math-and-arithmetic/How_is_multiplying_polynomials_similar_to_multiplying_large_numbers

A large number is a polynomial in which the variable has the value 10. The similarity is easy to see in 2478 = 2*103 + 4*102 + 7*101 + 8 and 2*x3 + 4*x2 + 7*x1 + 8 In multiplying large numbers, you would take the digits of one number, one by one, and multiply them into the digits of the other number. In each case, the product is given the place value that is the sum of the place values of the two digits. Now, think of each digit in the number as the coefficient of the appropriate power of ten. And the two processes can be seen to be the same.



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https://math.answers.com/math-and-arithmetic/How_is_multiplying_polynomials_similar_to_multiplying_large_numbers

How is multiplying polynomials similar to multiplying large numbers? - Answers

A large number is a polynomial in which the variable has the value 10. The similarity is easy to see in 2478 = 2*103 + 4*102 + 7*101 + 8 and 2*x3 + 4*x2 + 7*x1 + 8 In multiplying large numbers, you would take the digits of one number, one by one, and multiply them into the digits of the other number. In each case, the product is given the place value that is the sum of the place values of the two digits. Now, think of each digit in the number as the coefficient of the appropriate power of ten. And the two processes can be seen to be the same.

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      A large number is a polynomial in which the variable has the value 10. The similarity is easy to see in 2478 = 2*103 + 4*102 + 7*101 + 8 and 2*x3 + 4*x2 + 7*x1 + 8 In multiplying large numbers, you would take the digits of one number, one by one, and multiply them into the digits of the other number. In each case, the product is given the place value that is the sum of the place values of the two digits. Now, think of each digit in the number as the coefficient of the appropriate power of ten. And the two processes can be seen to be the same.

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