Question

Add the given polynomials. $-x^{2}-x-4,2 x^{2}-7 x+9,$ and $-3 x^{2}+6 x-10$

Name: Problem 20, Chapter 3: Intermediate Algebra
Uploaded: 2023-03-09T08:49:35-08:00
Duration: 57 s
Channel: Jennifer Stoner
Description: Add the given polynomials. -x^2-x-4,2 x^2-7 x+9, and -3 x^2+6 x-10

   Add the given polynomials.
$-x^{2}-x-4,2 x^{2}-7 x+9,$ and $-3 x^{2}+6 x-10$

Intermediate Algebra

Jerome E. Kaufmann,… 10th Edition

Chapter 3, Problem 20

Instant Answer

Solved by Expert Jennifer Stoner

03/09/2023

Step 1

Step 1: First, we write down the given polynomials: \[-x^{2}-x-4, \quad 2 x^{2}-7 x+9, \quad -3 x^{2}+6 x-10\] Show more…

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Add the given polynomials. $-x^{2}-x-4,2 x^{2}-7 x+9,$ and $-3 x^{2}+6 x-10$

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Key Concepts

Polynomial Addition

Polynomial addition is the process of combining two or more polynomials by adding together the coefficients of like terms. By aligning terms with the same degree, this operation merges the individual expressions into a single, simplified polynomial, making it easier to work with or analyze.

Polynomials

Polynomials are expressions made up of variables and constants combined using addition, subtraction, and multiplication, where the variables are raised to non-negative integer exponents. They form the backbone of algebra, allowing a wide range of mathematical relationships to be modeled and manipulated.

Like Terms

Like terms are components of polynomial expressions that have identical variable parts, meaning they share the same variables raised to the same powers. This similarity allows their coefficients to be combined directly, which is a key step in simplifying polynomial expressions.

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