1Cademy - Finding the Sum $$(14y^2 + 6y

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Adding and Subtracting Polynomials

Example

Finding the Sum $(14y^2 + 6y - 4) + (3y^2 + 8y + 5)$

Find the sum of the polynomials:

$(14y^2 + 6y - 4) + (3y^2 + 8y + 5)$

First, identify the like terms. The $y^2$ -terms are $14y^2$ and $3y^2$ ; the $y$ -terms are $6y$ and $8y$ ; the constants are $-4$ and $5$ .

Next, rearrange the terms to group them together:

$14y^2 + 3y^2 + 6y + 8y - 4 + 5$

Finally, combine the like terms by adding their coefficients:

$17y^2 + 14y + 1$

Updated 2026-05-25

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OpenStax Intermediate Algebra

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Intermediate Algebra @ OpenStax

Ch.5 Polynomials and Polynomial Functions - Intermediate Algebra @ OpenStax

Algebra

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A warehouse manager is calculating the total inventory of two different storage zones. The inventory for Zone A is represented by the polynomial $({}14y^2 + 6y - 4)$ , and the inventory for Zone B is represented by $({}3y^2 + 8y + 5)$ . To find the combined inventory, the manager must first identify which terms are 'like terms.'

Match each term from the Zone A polynomial with its corresponding like term from the Zone B polynomial.
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