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Lesson 55 Solving Polynomial Equations with answers.notebook 1 February 27, 2015 Lesson 55 Solving Polynomial Equations prime polynomials polynomials that cannot be factored

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Page 1: Lesson 55 Solving Polynomial Equations - Home - …phs.vikingnet.net/UserFiles/Servers/Server_25516/File... · Write each expression in quadratic form, if possible. a.2x6 ... Lesson

Lesson 5­5 Solving Polynomial Equations with answers.notebook

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February 27, 2015

Lesson 5­5 Solving Polynomial Equations

prime polynomials ­ polynomials that cannot be factored

Page 2: Lesson 55 Solving Polynomial Equations - Home - …phs.vikingnet.net/UserFiles/Servers/Server_25516/File... · Write each expression in quadratic form, if possible. a.2x6 ... Lesson

Lesson 5­5 Solving Polynomial Equations with answers.notebook

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February 27, 2015

Example 1Factor each polynomial.  If the polynomial cannot be factored, write prime.

a. x3 ­ 400 b. 24x5 + 3x2y3

c. 5y4 ­ 320yz3

d. ­54w4 ­ 250wz3

Page 3: Lesson 55 Solving Polynomial Equations - Home - …phs.vikingnet.net/UserFiles/Servers/Server_25516/File... · Write each expression in quadratic form, if possible. a.2x6 ... Lesson

Lesson 5­5 Solving Polynomial Equations with answers.notebook

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February 27, 2015

Page 4: Lesson 55 Solving Polynomial Equations - Home - …phs.vikingnet.net/UserFiles/Servers/Server_25516/File... · Write each expression in quadratic form, if possible. a.2x6 ... Lesson

Lesson 5­5 Solving Polynomial Equations with answers.notebook

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February 27, 2015

Example 2 (Factoring by Grouping)a. x3 + 5x2 ­ 2x ­ 10 b. a2 + 3ay + 2ay2 + 6y3

c. 30ax ­ 24bx + 6cx ­ 5ay2 + 4by2 ­ cy2

d. 13ax + 18bz ­ 15by ­ 14az ­ 32bx + 9ay

Page 5: Lesson 55 Solving Polynomial Equations - Home - …phs.vikingnet.net/UserFiles/Servers/Server_25516/File... · Write each expression in quadratic form, if possible. a.2x6 ... Lesson

Lesson 5­5 Solving Polynomial Equations with answers.notebook

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February 27, 2015

Example 3 (Combine Cubes and Squares)Factor each polynomial.  If the polynomial cannot be factored, write prime.a. x2y3 ­ 3xy3 + 2y3 + x2z3 ­ 3xz3 + 2z3

b. 64x6 ­ y6

Page 6: Lesson 55 Solving Polynomial Equations - Home - …phs.vikingnet.net/UserFiles/Servers/Server_25516/File... · Write each expression in quadratic form, if possible. a.2x6 ... Lesson

Lesson 5­5 Solving Polynomial Equations with answers.notebook

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February 27, 2015

Page 7: Lesson 55 Solving Polynomial Equations - Home - …phs.vikingnet.net/UserFiles/Servers/Server_25516/File... · Write each expression in quadratic form, if possible. a.2x6 ... Lesson

Lesson 5­5 Solving Polynomial Equations with answers.notebook

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February 27, 2015

Example 4Write each expression in quadratic form, if possible.a. 2x6 ­ x3 + 9 b. x4 ­ 2x3 ­ 1

Page 8: Lesson 55 Solving Polynomial Equations - Home - …phs.vikingnet.net/UserFiles/Servers/Server_25516/File... · Write each expression in quadratic form, if possible. a.2x6 ... Lesson

Lesson 5­5 Solving Polynomial Equations with answers.notebook

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February 27, 2015

Example 5Solve.a. x4 ­ 29x2 + 100 = 0 b. 4x4 ­ 8x2 + 3 = 0

c. 8x4 + 10x2 ­ 12 = 0

Page 9: Lesson 55 Solving Polynomial Equations - Home - …phs.vikingnet.net/UserFiles/Servers/Server_25516/File... · Write each expression in quadratic form, if possible. a.2x6 ... Lesson

Lesson 5­5 Solving Polynomial Equations with answers.notebook

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February 27, 2015

Page 10: Lesson 55 Solving Polynomial Equations - Home - …phs.vikingnet.net/UserFiles/Servers/Server_25516/File... · Write each expression in quadratic form, if possible. a.2x6 ... Lesson

Lesson 5­5 Solving Polynomial Equations with answers.notebook

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February 27, 2015

Page 11: Lesson 55 Solving Polynomial Equations - Home - …phs.vikingnet.net/UserFiles/Servers/Server_25516/File... · Write each expression in quadratic form, if possible. a.2x6 ... Lesson

Lesson 5­5 Solving Polynomial Equations with answers.notebook

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February 27, 2015

Page 12: Lesson 55 Solving Polynomial Equations - Home - …phs.vikingnet.net/UserFiles/Servers/Server_25516/File... · Write each expression in quadratic form, if possible. a.2x6 ... Lesson

Lesson 5­5 Solving Polynomial Equations with answers.notebook

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February 27, 2015