NYS COMMON CORE MATHEMATICS CURRICULUMM1Lesson 8ALGEBRA ILesson 8:Adding and Subtracting PolynomialsS.34This work is derived from Eureka Math™and licensed by Great Minds. ©2015 Great Minds. eureka-math.orgThis file derived from ALG I-M1-TE-1.3.0-07.2015This work is licensed under aCreative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.Lesson 8:Adding and Subtracting PolynomialsClassworkExercise 1a.How many quarters, nickels, and pennies are needed to make$1.13b.Fill in the blanks:?8,943 = _______ × 1000 + _______ × 100 + _______ × 10 + _______ × 1= _______ × 103+ _______ × 102+ _______ × 10 + _______ × 1c.Fill in the blanks:8,943 = _______ × 203+ _______ × 202+ _______ × 20 + _______ × 1d.Fill in the blanks:113 = _______ × 52+ _______ × 5 + _______ × 1Exercise 2Now let’s be as general as possible by not identifying which base we are in.Just call the base𝑥Consider the expression1 ∙ 𝑥3+ 2 ∙ 𝑥2+ 7 ∙ 𝑥 + 3 ∙ 1, or equivalently𝑥3+ 2𝑥2+ 7𝑥 + 3a.What is the value of this expression if𝑥 = 10b.What is the value of this expression if𝑥 = 20..??