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Add polynomials (4 y + 5 y^2) + (2 y^3 - 8 y^2).

Question:

Add polynomials {eq}(4 y + 5 y^2) + (2 y^3 - 8 y^2) {/eq}.

Addition of Algebraic Expressions

Algebraic expressions are composed of variables with integers for coefficients, integers as constants and mathematical operations. When adding expressions like these, one can only add the coefficients of terms with the same variables.

Answer and Explanation:

The sum of the following polynomials can be determined by collecting like terms:

{eq}(4 y + 5 y^2) + (2 y^3 - 8 y^2) {/eq}

{eq}2 y^3 + 5 y^2 - 8 y^2 + 4 y {/eq}

{eq}2 y^3 - 3 y^2 + 4 y {/eq}

The sum of {eq}(4 y + 5 y^2) + (2 y^3 - 8 y^2) {/eq} is {eq}2 y^3 - 3 y^2 + 4 y {/eq}.


Learn more about this topic:

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Evaluating Simple Algebraic Expressions

from ELM: CSU Math Study Guide

Chapter 6 / Lesson 3
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