Objective: 6.3 Adding, Sutracting and Multiplying Polynomials 1 5 Minute Check  Write a quadratic function in the specified form whose graph has the given.

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Presentation transcript:

Objective: 6.3 Adding, Sutracting and Multiplying Polynomials 1 5 Minute Check  Write a quadratic function in the specified form whose graph has the given characteristics.  1. Vertex form: 2. Intercept form  vertex (5, -2) x-intercepts: -3, 1  point on graph (4, 0) point on graph (2, -5)

2 More Fun with Polynomials You will learn how to (or review): 1. Add polynomials vertically and horizontally. 2. Subtract polynomials vertically and horizontally. 3. Multiply polynomials vertically and horizontally. 4. Multiply three binomials.

Objective: 6.3 Adding, Sutracting and Multiplying Polynomials 3 Adding Polynomials A. Add the following: 3x 3 + 2x 2 – x – 7 + x 3 – 10x B. Add the following: (9x 3 – 2x + 1) + (5x x – 4)

Objective: 6.3 Adding, Sutracting and Multiplying Polynomials 4 Subtracting Polynomials A. Subtract the polynomials. 8x 3 – 3x 2 – 2x (2x 3 + 6x 2 – x + 1) B. (2x 2 + 3x) – (3x 2 + x – 4)

Objective: 6.3 Adding, Sutracting and Multiplying Polynomials 5 Multiplying Polynomials Multiply the polynomials. -x 2 + 2x + 4 x x – 3 Multiply the polynomials. (x – 3)(3x 2 – 2x – 4)

Objective: 6.3 Adding, Sutracting and Multiplying Polynomials 6 Multiplying Three Binomials  Multiply the polynomials. (x – 1)(x + 4)(x + 3)

Objective: 6.3 Adding, Sutracting and Multiplying Polynomials 7 You Try  Multiply the polynomials. (x – 2)(x – 1)(x + 3)

Objective: 6.3 Adding, Sutracting and Multiplying Polynomials 8 Special Patterns  From page 339, put the special patterns in your notes. In particular, the cube of a binomial patterns may be helpful.  If you don’t memorize the patterns, you can always just multiply them out as you would any other polynomials.

Objective: 6.3 Adding, Sutracting and Multiplying Polynomials 9 Multiply the Following  (x + y) 3

Objective: 6.3 Adding, Sutracting and Multiplying Polynomials 10 Homework  Homework: page 341, 14, 20, 21, 27, 35, 45, 55, 58