Question

Add the given polynomials. $6 x^{2}+8 x+4$ and $-7 x^{2}-7 x-10$

Name: Problem 16, Chapter 3: Intermediate Algebra
Uploaded: 2023-03-09T08:50:26-08:00
Duration: 35 s
Channel: Jennifer Stoner
Description: Add the given polynomials. 6 x^2+8 x+4 and -7 x^2-7 x-10

   Add the given polynomials.
$6 x^{2}+8 x+4$ and $-7 x^{2}-7 x-10$

Intermediate Algebra

Jerome E. Kaufmann,… 10th Edition

Chapter 3, Problem 16

Instant Answer

Solved by Expert Jennifer Stoner

03/09/2023

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$6 x^{2}+8 x+4$ $-7 x^{2}-7 x-10$ Show more…

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Add the given polynomials. $6 x^{2}+8 x+4$ and $-7 x^{2}-7 x-10$

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Key Concepts

Coefficient Arithmetic

Coefficient arithmetic involves the basic arithmetic operations applied to the numerical coefficients of the terms. In polynomial addition, this means summing the coefficients of like terms to simplify the expression into a more compact form.

Polynomial Addition

Polynomial addition is the process of combining two or more polynomials by adding their corresponding coefficients. This operation involves aligning terms with the same degree and then performing arithmetic on their coefficients to produce a single polynomial.

Like Terms

Like terms in a polynomial are terms that have the same variables raised to the same powers. When adding polynomials, only like terms can be combined by adding their coefficients, ensuring the resulting polynomial maintains the correct structure and degree.

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