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:3x3 + 2x2 – x – 7

+ x3 – 10x2 + 8

B. Add the following:(9x3 – 2x + 1) + (5x2 + 12x – 4)

Objective: 6.3 Adding, Sutracting and Multiplying Polynomials

4

Subtracting Polynomials

A. Subtract the polynomials.8x3 – 3x2 – 2x + 9

- (2x3 + 6x2 – x + 1)

B. (2x2 + 3x) – (3x2 + x – 4)

Objective: 6.3 Adding, Sutracting and Multiplying Polynomials

5

Multiplying Polynomials

Multiply the polynomials.-x2 + 2x + 4

x x – 3

Multiply the polynomials.(x – 3)(3x2 – 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