DISCUSS: Degrees of Sums and Products of PolynomialsMake up several pairs of polynomials, then calculate the sumand product of each pair. On the basis of your experimentsand observations, answer the following questions.(a) How is the degree of the product related to the degrees ofthe original polynomials?(b) How is the degree of the sum related to the degrees ofthe original polynomials?(c) Test your conclusions by finding the sum and product ofthe following polynomials:2x3  x  3 and 2x3  x  7 94. DISCUSS: Degrees of Sums and Products of PolynomialsMake up several pairs of polynomials, then calculate the sumand product of each pair. On the basis of your experimentsand observations, answer the following questions.(a) How is the degree of the product related to the degrees ofthe original polynomials?(b) How is the degree of the sum related to the degrees ofthe original polynomials?(c) Test your conclusions by finding the sum and product ofthe following polynomials:2x + x – 3and-2x - x + 7

Answered: 94. DISCUSS: Degrees of Sums and…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

ChapterP: Prerequisites

SectionP.5: Algebraic Expressions

Problem 94E: DISCUSS: Degrees of Sums and Products of Polynomials Make up several pairs of polynomials, then...

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DISCUSS: Degrees of Sums and Products of Polynomials
Make up several pairs of polynomials, then calculate the sum
and product of each pair. On the basis of your experiments
and observations, answer the following questions.
(a) How is the degree of the product related to the degrees of
the original polynomials?
(b) How is the degree of the sum related to the degrees of
the original polynomials?
(c) Test your conclusions by finding the sum and product of
the following polynomials:
2x3  x  3 and 2x3  x  7

94. DISCUSS: Degrees of Sums and Products of Polynomials
Make up several pairs of polynomials, then calculate the sum
and product of each pair. On the basis of your experiments
and observations, answer the following questions.
(a) How is the degree of the product related to the degrees of
the original polynomials?
(b) How is the degree of the sum related to the degrees of
the original polynomials?
(c) Test your conclusions by finding the sum and product of
the following polynomials:
2x + x – 3
and
-2x - x + 7

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