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 409 1-26 all

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

Find the degree Ex 1) -2 𝑎 2 𝑏 4 Ex 2) 1.5 𝑘 2 m Ex 3) 5

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

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

Write each polynomial in standard form. Give the leading coefficient Ex 9) 16 - 4 𝑥 2 + 𝑥 5 + 9 𝑥 3 Ex 10) 20x - 4 𝑥 3 + 2 - 𝑥 2

Ex 11) 18 𝑦 5 - 3 𝑦 6 + 14y Ex 12) 𝑦 3 + 𝑦 5 + 4y

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

Classify each polynomial according to its degree and number of terms Ex 13) 5x – 6 Ex 14) 𝑥 3 + 𝑥 2 - x + 2 Ex 15) -3 𝑦 8 + 18 𝑦 5 + 14y

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 -16 𝑡 2 + 200t + 6 where t is the time in seconds. How high will the firework be when it explodes?