Holt Algebra 1 7-6 Adding and Subtracting Polynomials 7-6 Adding and Subtracting Polynomials Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz
Transcript
Slide 1
Holt Algebra 1 7-6 Adding and Subtracting Polynomials 7-6
Adding and Subtracting Polynomials Holt Algebra 1 Warm Up Warm Up
Lesson Presentation Lesson Presentation Lesson Quiz Lesson
Quiz
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Holt Algebra 1 7-6 Adding and Subtracting Polynomials Warm Up
Simplify each expression by combining like terms. 1. 4x + 2x 2. 3y
+ 7y 3. 8p 5p 4. 5n + 6n 2 Simplify each expression. 5. 3(x + 4) 6.
2(t + 3) 7. 1(x 2 4x 6) 6x6x 10y 3p3p not like terms 3x + 12 2t 6 x
2 + 4x + 6
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Holt Algebra 1 7-6 Adding and Subtracting Polynomials Add or
Subtract.. Example 1: Adding and Subtracting Monomials A. 12p 3 +
11p 2 + 8p 3 12p 3 + 11p 2 + 8p 3 20p 3 + 11p 2 Identify like
terms. Combine like terms. B. 5x 2 6 3x + 8 5x 2 6 3x + 8 5x 2 3x +
2 Identify like terms. Combine like terms.
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Holt Algebra 1 7-6 Adding and Subtracting Polynomials Add or
Subtract.. Example 1: Adding and Subtracting Monomials C. t 2 + 2s
2 4t 2 s 2 t 2 + 2s 2 4t 2 s 2 3t 2 + s 2 Identify like terms.
Combine like terms. D. 10m 2 n + 4m 2 n 8m 2 n 10m 2 n + 4m 2 n 8m
2 n 6m2n6m2n Identify like terms. Combine like terms.
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Holt Algebra 1 7-6 Adding and Subtracting Polynomials You try
these! a. 2s 2 + 3s 2 + s Add or subtract. Ans: 5s 2 + s b. 4z 4 8
+ 16z 4 + 2 Ans: 20z 4 6
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Holt Algebra 1 7-6 Adding and Subtracting Polynomials c. 2x 8 +
7y 8 x 8 y 8 Add or subtract. Ans: x 8 + 6y 8 d. 9b 3 c 2 + 5b 3 c
2 13b 3 c 2 Ans: b 3 c 2
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Holt Algebra 1 7-6 Adding and Subtracting Polynomials
Polynomials can be added in either vertical or horizontal form. In
vertical form, align the like terms and add: In horizontal form,
regroup and combine like terms. = (5x 2 + 2x 2 ) + (4x + 5x) + (1 +
2) = 7x 2 + 9x + 3 5x 2 + 4x + 1 + 2x 2 + 5x + 2 7x2 + 9x + 37x2 +
9x + 3 (5x 2 + 4x + 1) + (2x 2 + 5x + 2)
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Holt Algebra 1 7-6 Adding and Subtracting Polynomials Add. A.
(4m 2 + 5) + (m 2 m + 6) Ans: 5m 2 m + 11 B. (10xy + x) + (3xy + y)
Ans: 7xy + x + y
Holt Algebra 1 7-6 Adding and Subtracting Polynomials Subtract.
(2x 2 3x 2 + 1) (x 2 + x + 1) Ans: 2x 2 x You Try!
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Holt Algebra 1 7-6 Adding and Subtracting Polynomials A farmer
must add the areas of two plots of land to determine the amount of
seed to plant. The area of plot A can be represented by 3x 2 + 7x 5
and the area of plot B can be represented by 5x 2 4x + 11. Write a
polynomial that represents the total area of both plots of land.
(3x 2 + 7x 5)(5x 2 4x + 11) Plot A.Plot B. +
Holt Algebra 1 7-6 Adding and Subtracting Polynomials Lesson
Quiz: Part II 6. A painter must add the areas of two walls to
determine the amount of paint needed. The area of the first wall is
modeled by 4x 2 + 12x + 9, and the area of the second wall is
modeled by 36x 2 12x + 1. Write a polynomial that represents the
total area of the two walls.