Sec 2.1 –Operations with Polynomials Polynomial Classification and Operations Name: Name Examples Non-Examples Monomial (one term) 1. 3 ݔସ degree:4 or quartic 2. ଶ degree:2 or quadratic 3. 5 degree:0 or constant 1. 2 ݔସ 2. 5√ 3. 3 ݐమ య Binomial (two terms) 1. 2 ଷ − degree:3 or cubic 2. − 3 degree:1 or linear(monic) 3. −3 ଷ ସ + ସ ହ degree:9 or nonic 1. మశభ 2. √ ଷ − 2 Trinomial (three terms) 1. −2 ݔଷ + 2 ݔ− 3 degree:3 or cubic 2. ( ଶ + 2 ସ − 2) degree:5 or quintic 1. ݔଷ + 2 ݔ− 5 2. 2 ௫ + 3 ݔ− 5 Polynomial (one or more terms) 1. 3 ݔସ + 2 ݔଷ − 5 ݔ+ 1 degree:4 or quartic 2. 5 ݕ degree:6 or sextic 3. భ మ ௫ మ ା√ଷ ௫ య ௫ ర + 1 ݔ− 3 degree:4 or quartic 1. 3 ݍଷ + 2. 2 ௫ + 3√ ݔ1. EXPAND and SIMIPLIFY a. 2x) (2 3) (7x b. (5x 3 – 3x 4 − 2x – 9x 2 – 2) + (3x 3 +2x 2 – 5x – 7) c. x x 8 ) 5 ( 3 d. 7 2 6 5 2 3 2 x y x y x e. x x x x 2 6 5 2 2 2 f. 5 11 9 5 8 5 2 2 3 3 x x x x x g. 5 3 x x h. 2 5 2 x M. Winking Unit 2-1 page 27