5x – 14 15x + 3 6x2 Warm up Combine Like Terms Exponent Rules

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Presentation transcript:

5x – 14 15x + 3 6x2 Warm up Combine Like Terms Exponent Rules 3) What is 2x  3x? 5x – 14 15x + 3 6x2

Unit 1 Operations & Rules

An expression that can have constants, variables, & exponents, but: Named by their degree Named by their number of terms No division by a variable Only whole number exponents Written in standard form Polynomial 5x2y – 3x + 10 -2y3 – 9

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

Standard Form Terms are placed in descending order by the DEGREE. Answers will always be written in this form.

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

1. What is the degree name? Linear

2. What is the degree name? Cubic

Drop the parenthesis & combine like terms Adding Polynomials Drop the parenthesis & combine like terms

3. 3x2 + x + 2

4. x2 + 2x – 2

5. Find the perimeter of the rectangle. 10x + 12

Subtracting Polynomials Distribute the negative & combine like terms

6. 3a2 + 10a – 8a2 + a – 5a2 + 11a

7. 3x2 + 2x – 4 – 2x2 – x + 1 x2 + x – 3

Multiplying Polynomials Distribute, follow exponent rules, & combine like terms

8. -2x(x2 – 4x + 2)

(x + 3) (x – 3) 9.

(3x – 1)(2x – 4) 10.

11. Find the area of the rectangle.

12. Find the volume.

13. Profit Problem The Profit, P(x) for a diving company is represented by the product of the revenue per dive, R(x), and the number of customers, C(x). If R(x) = 100 + 20x and C(x) = 30 – 2x, find a polynomial representing P(x).

Homework Practice Worksheet