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1. (4a - 5) + (3a + 6) 2. (áx + 9) + (4x - 7) 3. (6xy+ 2y + 6x) + (4xy - x)

1. (4a - 5) + (3a + 6) 2. (áx + 9) + (4x - 7) 3. (6xy+ 2y + 6x) + (4xy - x)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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2:59 1 ull Alison Saldana... NAME DATE PERIOD Homework Adding and Subtracting Polynomials Add and Subtract Polynomials To add polynomials, you can group like terms horizontally or write them in column form, aligning like terms vertically. Like terms are monomial tems that have the same variables, with coresponding variables having the same exponent, such as 3p and -Sp or 2x y and 8x y. You can subtract a polynomial by adding its additive inverse. To find the additive inverse of a polynomial, replace each term with its additive inverse or opposite. Example: Find (3x + 2x - 6) - (2x + x+ 3). Horizontal Method Vertical Method Use additive inverses to rewrite as addition. Then group like terms. Align like terms in columns and subtract by adding the additive inverse. (3x + 2x – 6) – (2r +x² + 3) - (3x + 2x - 6) + [(-2x) + (-x*) + (-3)] - (3x +(-x')] + [2r + (-2x)] + [-6 + (-3)] - 2x + (-9) 3x + 2x - 6 3+2x -6 2x - 2 -9 The difference is 2x-9 The difference is 2x-9 . Exercises Find each sum or difference. 1. (4a - 5) + (3a + 6) 2. (6x + 9) + (4x² - 7) 3. (бху + 2у + 6к) + (4ху-х) 4. (2* + y3 +(-x* + y>
Transcribed Image Text:2:59 1 ull Alison Saldana... NAME DATE PERIOD Homework Adding and Subtracting Polynomials Add and Subtract Polynomials To add polynomials, you can group like terms horizontally or write them in column form, aligning like terms vertically. Like terms are monomial tems that have the same variables, with coresponding variables having the same exponent, such as 3p and -Sp or 2x y and 8x y. You can subtract a polynomial by adding its additive inverse. To find the additive inverse of a polynomial, replace each term with its additive inverse or opposite. Example: Find (3x + 2x - 6) - (2x + x+ 3). Horizontal Method Vertical Method Use additive inverses to rewrite as addition. Then group like terms. Align like terms in columns and subtract by adding the additive inverse. (3x + 2x – 6) – (2r +x² + 3) - (3x + 2x - 6) + [(-2x) + (-x*) + (-3)] - (3x +(-x')] + [2r + (-2x)] + [-6 + (-3)] - 2x + (-9) 3x + 2x - 6 3+2x -6 2x - 2 -9 The difference is 2x-9 The difference is 2x-9 . Exercises Find each sum or difference. 1. (4a - 5) + (3a + 6) 2. (6x + 9) + (4x² - 7) 3. (бху + 2у + 6к) + (4ху-х) 4. (2* + y3 +(-x* + y>
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