Adding and Subtracting Polynomials

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Presentation transcript:

Adding and Subtracting Polynomials A-SSE.1a, A-SSE.3a, A-APR.3, F-IF.8a

Table of Contents 46: Warm-Up 47: What is the Difference Between Linear and Non Linear Functions?

Warm-Up Are the following quadratic functions? Why or why not? a(x) = 9x2 – 12x + 3 b(x) = 9 + 9x – 12x2 c(x) = 23x + 35 d(x) = 9x + 5x2 e(x) = -x2 – 24 f(x) = 8 – ¼ x

Learning Intention/Success Criteria LI: We are learning how to add and subtract polynomials SC: I know how to -apply the laws of exponents to variables -add, subtract, multiply, and divide integers -state the number of terms in a function

EQ: How Do I Add and Subtract Polynomials? 2/28/2019

Term Parts of an expression separated by addition and subtraction signs Polynomial The sum or difference of terms which have variables raised to positive integer powers and which have coefficients

Monomial A polynomial with one term Binomial A polynomial with two terms which are not like terms Trinomial A polynomial with three terms which are not like terms

Example 1: Add 2x + 3x 2x + 3x x x x x x 5x

Guided Practice 1 Add the following: 3g + 7g -3k + 6k 10g 8w – 12w 3k

Example 2: Add (-2x + 3) + (3x – 6) - 3

Guided Practice 2 Add the following: (-3x + 6) + (5x – 3)

Example 3: Subtract (18x - 23) - (10x - 5) -18

Guided Practice 3 Subtract the following: (30x - 18) - (12x + 5)

Example 4: Add: (2x2 + 3x – 4) + (3x2 – 6x + 4) + 0 5x2 – 3x

Guided Practice 4 Add or Subtract the following: (5x2 – 4) + (-8x2 + 6x + 10) (-2x2 + 3x - 4) - (4x2 – 6x + 3) -3x2 + 6x - 6 -6x2 + 9x - 7