1. Lesson 6-3 Polynomials
Obj: The student will be able to 1) Classify polynomials and write polynomials in standard form 2) Evaluate polynomial expressions HWK: p all

2. Vocab: monomial degree of a monomial polynomial degree of a polynomial
standard form of a polynomial
leading coefficient
quadratic
cubic
binomial
trinomial
terms – the parts being added or subtracted

3. Find the degree
Ex 1) -2 𝑎 2 𝑏 Ex 2) 1.5 𝑘 2 m Ex 3) 5

4. Ex 4) 4x Ex 5) 4x - 18 𝑥 Ex 6) 5x - 6

5. Ex 7) 𝑥 3 𝑦 2 + 𝑥 2 𝑦 3 - 𝑥 4 + 2 Ex 8) 0.5 𝑥 2 𝑦 + 0.25xy + 0.75

6. Write each polynomial in standard form. Give the leading coefficient
Ex 9) 𝑥 𝑥 𝑥 Ex 10) 20x - 4 𝑥 𝑥 2

7. Ex 11) 18 𝑦 𝑦 y Ex 12) 𝑦 𝑦 y

8. Polynomial names based on degrees and number of terms
Constant 1
Linear 2
Quadratic 3
Cubic 4
Quartic 5
Quintic
6 or more
6th degree, 7th degree …
Terms
Name 1
Monomial 2
Binomial 3
Trinomial
4 or more
Polynomial

9. Classify each polynomial according to its degree and number of terms
Ex 13) 5x – Ex 14) 𝑥 𝑥 2 - x Ex 15) -3 𝑦 𝑦 y

10. Ex 16) A firework is launched from a platform 6 feet above the ground at a speed of 200 feet per second. The firework has a 5 second fuse. The height of the firework in feet is given by the polynomial 𝑡 t + 6 where t is the time in seconds. How high will the firework be when it explodes?