Combine Like Terms 1) 3x – 6 + 2x – 8 2) 3x – 7 + 12x + 10 3) 10xy + 5y – 6xy – 14y 5x – 14 15x + 3 4xy – 9y Warm up.

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Presentation transcript:

Combine Like Terms 1) 3x – 6 + 2x – 8 2) 3x – x ) 10xy + 5y – 6xy – 14y 5x – 14 15x + 3 4xy – 9y Warm up

Unit 4 Operations & Rules

VOCABULARY

Degree The exponent for a variable

Degree of the Polynomial Highest (largest) exponent of the polynomial

Standard Form Terms are placed in descending order by the DEGREE

Leading Coefficient Once in standard form, it’s the 1 st NUMBER in front of the variable (line leader)

# of Terms Name by # of Terms 1 Monomial 2 Binomial 3 Trinomial 4+Polynomial

Degree (largest exponent) Name by degree 0 Constant 1 Linear 2 Quadratic 3Cubic

Special Names: Linear Binomial Degree Name: # of Terms Name: Leading Coefficient: -2

Special Names: Cubic Monomial Degree Name: # of Terms Name:

Special Names: Quadratic Binomial Degree Name: # of Terms Name: Leading Coefficient: 4

Special Names: Cubic Trinomial Degree Name: # of Terms Name: Leading Coefficient: 1

Adding Polynomials

1. 3x 2 + x + 2

2. x 2 + 2x – 2

Subtracting Polynomials

 When SUBTRACTING polynomials Drop the 1 st parenthesis then distribute the NEGATIVE to the 2 nd parenthesis.

3a a – 8a 2 + a – 5a a 3.

3x 2 + 2x – 4 – 2x 2 – x + 1 x 2 + x – 3 4.

Multiplying Polynomials

-2x(x 2 – 4x + 2) 5.

(x + 3) (x – 3) 6.

(3x – 1)(2x – 4) 7.

8. Find the area of the rectangle.

9. Find the volume.

Classwork Worksheet 13 problems

Homework Practice Worksheet