1. 6.1 - Polynomials

2. Different types of modeling Linear ModelQuadratic Model Cubic Model

3. What is a polynomial? A polynomial is the sum or difference of monomials. DEGREENAMEEXAMPLE# termsNAME (term) 0Constant61Monomial 1Linearx+12Binomial 2Quadratic3x² + x – 43Trinomial 3Cubic4x³ + x²2Binomial

4. POLYNOMIAL Y = 2x³ - 5x² - 2x + 5 CUBIC TERM QUADRATIC TERM LINEAR TERM CONSTANT LEADING COEFFICIENT

5. Match each polynomial with a description of it’s graph Linear, binomial Quadratic, trinomial Cubic, polynomial Quintic, monomial Quartic, trinomial

6. Example Write the polynomial from greatest degree to smallest degree Classification: This is a Polynomial of 5 terms

7. Let’s try one Simplify. Classify the result by the number of terms Polynomial of 4 terms

8. POLYNOMIALS - Multiplying EX = FOIL (2 Binomials) (3x + 1)(2x – 5) 6x²5- First Outer Inner Last -15x2x+ F irst O uter I nner L ast

9. POLYNOMIALS - Multiplying EX = BOX (2 Binomials) (3x + 1)(3x – 7) 3x 1 3x 9x²3x -21x-7 = 9x² + 3x - 21x - 7 = 9x² -18x - 7 -7

10. Let’s try one

12. POLYNOMIALS - Multiplying EX = FOIL (Polynomials) (x² - 3x + 1)(x² + x – 3) x4x4 9x+-3x³3x²- + x³- 3x² 3- + x²x²x+ = x 4 – 2x³ - 5x² + 10x - 3

13. POLYNOMIALS - Multiplying EX = BOX (Polynomials) (x² - 3x + 1)(x² + 5x – 4) x² -3x 1 x² 5x -4 x4x4 +2x³ -18x²+17x- 4 x4x4 -3x³x² 5x³ -15x² 5x -4x²12x -4