Question

Simplify.Add $-2 x^{2}-4 x-12$ and $-x^{2}-2 x$

Name: Problem 53, Chapter 5: Intermediate Algebra for College Students
Uploaded: 2020-03-28T02:41:08-08:00
Duration: 1 min 40 s
Channel: Heather Zimmers
Description: Simplify.Add -2 x^2-4 x-12 and -x^2-2 x

   Simplify.Add $-2 x^{2}-4 x-12$ and $-x^{2}-2 x$

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 5, Problem 53

Instant Answer

Solved by Expert Heather Zimmers

03/28/2020

Step 1

The like terms are $-2x^2$ and $-x^2$, and $-4x$ and $-2x$. Show more…

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Simplify.Add $-2 x^{2}-4 x-12$ and $-x^{2}-2 x$

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Key Concepts

Combining Like Terms

This key concept refers to the process of merging terms in an expression that have identical variable parts, meaning the same variables raised to the same powers. By adding or subtracting the coefficients of these like terms, the expression becomes simpler, making further algebraic operations more straightforward.

Polynomial Addition

This concept involves adding two or more polynomials by combining their respective terms. The process requires aligning terms that contain the same powers of the variable and then summing their coefficients. It is a fundamental operation in algebra that simplifies the manipulation and evaluation of polynomial expressions.

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