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Holt Algebra 1
7-6 Adding and Subtracting Polynomials7-6Adding and Subtracting Polynomials
Holt Algebra 1
Warm Up
Lesson Presentation
Lesson Quiz
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Holt Algebra 1
7-6 Adding and Subtracting Polynomials
Bell Quiz 7-6Simplify each expression by combining like terms.
1. 3y + 7y
2. 8p – 5p
Simplify the expression.
3. –2(t + 3)
5 pts
possible
1 pt
2 pts
2 pts
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Holt Algebra 1
7-6 Adding and Subtracting Polynomials
Questions on 7-3 & 7-4
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Holt Algebra 1
7-6 Adding and Subtracting Polynomials
Add and subtract polynomials.
Objective
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Holt Algebra 1
7-6 Adding and Subtracting Polynomials
Just as you can perform operations on numbers, you can perform operations on polynomials. To add or subtract polynomials, 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
A. 12p3 + 11p2 + 8p3
B. t2 + 2s2 – 4t2 – s2
C. 10m2n + 4m2n – 8m2n
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Holt Algebra 1
7-6 Adding and Subtracting Polynomials
Like terms are constants or terms with the same variable(s) raised to the same power(s). To review combining like terms, see lesson 1-7.
Remember!
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Holt Algebra 1
7-6 Adding and Subtracting Polynomials
Check It Out! Example 1
a. 2s2 + 3s2 + s
Add or subtract.
b. 4z4 – 8 + 16z4 + 2
c. 9b3c2 + 5b3c2 – 13b3c2
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Holt Algebra 1
7-6 Adding and Subtracting Polynomials
Add.
Example 2: Adding Polynomials
A. (4m2 + 5) + (m2 – m + 6)
B. (10xy + x) + (–3xy + y)
C: (6x2 – 4y) + (3x2 + 3y – 8x2 – 2y)
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Holt Algebra 1
7-6 Adding and Subtracting Polynomials
To subtract polynomials, remember that subtracting is the same as adding the opposite. To find the opposite of a polynomial, you must write the opposite of each term in the polynomial:
–(2x3 – 3x + 7)= –2x3 + 3x – 7
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Holt Algebra 1
7-6 Adding and Subtracting Polynomials
Subtract.
Example 3: Subtracting Polynomials
A: (x3 + 4y) – (2x3)
B: (7m4 – 2m2) – (5m4 – 5m2 + 8)
C: (–10x2 – 3x + 7) – (x2 – 9)
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Holt Algebra 1
7-6 Adding and Subtracting Polynomials
• Section 7-6 (page 487)
1, 7, 13, 16, 19, 20, 25-32, 54, 55
HOMEWORK