1Cademy - Finding the Sum $$(7y^2 - 2y + 9) + (4y^2 - 8y

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Adding and Subtracting Polynomials

Example

Finding the Sum $(7y^2 - 2y + 9) + (4y^2 - 8y - 7)$

Find the sum of two polynomials:

$(7y^2 - 2y + 9) + (4y^2 - 8y - 7)$

Step 1 — Identify like terms: The $y^2$ -terms are $7y^2$ and $4y^2$ ; the $y$ -terms are $-2y$ and $-8y$ ; the constants are $9$ and $-7$ .

Step 2 — Rearrange the terms: Remove the parentheses and group the like terms together:

$7y^2 + 4y^2 - 2y - 8y + 9 - 7$

Step 3 — Combine like terms: Add the coefficients of each group: $7 + 4 = 11$ gives $11y^2$ ; $-2 + (-8) = -10$ gives $-10y$ ; $9 + (-7) = 2$ .

The sum is $11y^2 - 10y + 2$ .

Updated 2026-04-29

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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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