Adding and Subtracting Polynomials

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Adding and Subtracting Polynomials
ALGEBRA 1 LESSON 9-1
(For help, go to Lesson 1-7.)
Simplify each expression. 1. 6t 13t 2. 5g
34g 3. 7k 15k 4. 2b 6 9b 5. 4n2
7n2 6. 8x2 x2
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Adding and Subtracting Polynomials
ALGEBRA 1 LESSON 9-1
1. 6t 13t (6 13)t 19t 2. 5g 34g (5
34)g 39g 3. 7k 15k (7 15)k 8k 4. 2b
6 9b (2 9)b 6 11b 6 5. 4n2 7n2
(4 7)n2 3n2 6. 8x2 x2 (8 1)x2 7x2
Solutions
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Adding and Subtracting Polynomials
ALGEBRA 1 LESSON 9-1
Find the degree of each monomial.
a. 18
b. 3xy3
c. 6c
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Adding and Subtracting Polynomials
ALGEBRA 1 LESSON 9-1
Write each polynomial in standard form. Then
name each polynomial by its degree and the number
of its terms.
a. 2 7x
linear binomial
b. 3x5 2 2x5 7x
fifth degree trinomial
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Adding and Subtracting Polynomials
ALGEBRA 1 LESSON 9-1
Simplify (6x2 3x 7) (2x2 6x 4).
Method 1 Add vertically.
Line up like terms. Then add the coefficients.
Method 2 Add horizontally.
8x2 3x 3
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Adding and Subtracting Polynomials
ALGEBRA 1 LESSON 9-1
Simplify (2x3 4x2 6) (5x3 2x 2).
Method 1 Subtract vertically.
Line up like terms. Then add the coefficients.
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Adding and Subtracting Polynomials
ALGEBRA 1 LESSON 9-1
(continued)
Method 2 Subtract horizontally.
(2x3 4x2 6) (5x3 2x 2)
2x3 4x2 6 5x3 2x 2 Write the opposite
of each term in the polynomial being subtracted.
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Adding and Subtracting Polynomials
ALGEBRA 1 LESSON 9-1
Simplify each expression. Then name each
polynomial by its degree and number of
terms. 1. 4 3x 2x2 2. 2b2 4b3
6 3. (2x4 3x 4) (3x 4 x4) 4. (3r
4r2 3) (4r2 6r 2)
2x2 3x 4 quadratic trinomial
4b3 2b2 6 cubic trinomial
3x4 fourth degree monomial
9r 1 linear binomial
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