Question

$\operatorname{Add}\left(5 a^{3}+2 a-3\right)$ to $\left(6 a^{2}+9 a+7\right)$.

   $\operatorname{Add}\left(5 a^{3}+2 a-3\right)$ to $\left(6 a^{2}+9 a+7\right)$.

Prealgebra

Julie Miller, Molly… 1st Edition

Chapter 10, Problem 40

Instant Answer

Solved by Expert Grace Muhihu

07/27/2020

Step 1

Step 1: First, we write down the two expressions we are adding together: \[5 a^{3}+2 a-3\] and \[6 a^{2}+9 a+7\] Show more…

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$\operatorname{Add}\left(5 a^{3}+2 a-3\right)$ to $\left(6 a^{2}+9 a+7\right)$.

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Key Concepts

Like Terms

Like terms are terms within a polynomial that have the same variable raised to the same power. When adding polynomials, only like terms can be combined, which simplifies the expression and results in a new polynomial with consolidated terms.

Polynomial

A polynomial is an algebraic expression consisting of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents. In problems like these, it is important to understand that each term in a polynomial is a product of a coefficient and a variable raised to a power.

Polynomial Addition

Polynomial addition is the process of combining two or more polynomials by adding their corresponding terms. This requires aligning the terms with the same degree and adding their coefficients together, even if some polynomials have missing degree terms.

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