University:
Montgomery College
Course:
MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems
Academic year:

2023
Views:

89

Pages:

1
Author:

Marilyn James

Mini-Lecture 5.2 Adding and Subtracting Polynomials Learning Objectives: 1. 2. 3. 4. Define polynomial, monomial, binomial, trinomial, and degree. Find the value of a polynomial given replacement values for the variables. Simplify a polynomial by combining like terms. Add and subtract polynomials. Examples: 1. Find the degree of each polynomial and determine whether it is a monomial, binomial, trinomial, or none of these. a) x2 + x –6 b) 3x + 10 c) 10x3y2z d) 8z5 + 9 Identify the degrees of the terms and degree of the polynomial. e) 2xy – 5x + 6xy f) 4a3 – 3a + 6 g) x3y – x2y2 + xy3 h) s5t2 –3s4t + 5st 2. Evaluate each polynomial when (a) y = 0; and (b) y = -2 a) 4y -7 b) y3 - 4 c) 3y2 + 8y – 9 d) -13 – 4y – y2 3. Simplify each expression buy combining like terms. a) 3x – 10x b) 3y3 – 6x2 + 2x2 –5y3 c) 3.7 x3 − 6.3x + 11.6 + 1.8 x − x3 − 8.2 4. Perform the indicated operation. a) (4 x − 3) + (2 x − 7) b) (5 x 2 + 3 x − 7) − (−5 x − 3) c) Subtract (3 x + 2 y ) from (5 x − 7 y ) Teaching Notes: • • • Most students find these objectives easy. Some students, when identifying the degree of a polynomial, get confused when one term is made of different variables. Each section in the text has 3 worksheets in the Extra Practice featuring differentiated learning. Answers: 1a) 2, trinomial; 1b) 1, binomial; 1c) 3, monomial; 1d) 5, binomial; 1e) 2,1,2,2; 1f) 3, 1, 3; 1g) 4, 4, 4, 4; 1h) 7, 5, 2, 7; 2a) -7, -15; 2b) -4, -12; 2c) -9, -13; 2d) –13, -9; 3a) -7x; 3b) -2y2-4x2; 3c) 2.7x3-4.5x+3.4; 4a) 6x-10; 4b) 5x2 +8x-4; 4c) 2x-9y