We shall add and subtract polynomial expressions.

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Presentation transcript:

We shall add and subtract polynomial expressions. Learning Objective We shall add and subtract polynomial expressions. CFU What are we going to do today? Activate Prior Knowledge Simplify each expression. 1. -3(y2 + 6y) + y 2. x – 2(3x – 1)

Polynomial:- (poly meaning "many") consisting of several terms Concept Development Polynomial:- (poly meaning "many") consisting of several terms separated by addition and subtraction. Examples: Academic Vocabulary Monomial Binomial Trinomial Polynomial

Polynomial:- (poly meaning "many") consisting of several terms Concept Development Cont. Polynomial:- (poly meaning "many") consisting of several terms separated by addition and subtraction. Ex.: Ex.: Write the polynomial in descending (decreasing power) order.

We shall & will add and subtract polynomial expressions. Concept Development Cont. Polynomial:- (poly meaning "many") consisting of several terms separated by addition and subtraction. We shall & will add and subtract polynomial expressions. (degree) leading Constant

Examples: 3 3 Leading Coe. = 5 Leading Coe. = 8 Skill Development/Guided Practice If there are parentheses, distribute the negative sign and rewrite as addition. Arrange in columns of like terms and then add. Write the final solution as standard form. Examples: CFU: Explain what we do in Step 2? CFU: Explain what we do in Step 3? 3 3 Leading Coe. = 5 Leading Coe. = 8

Examples: 2 2 Leading Coe. = 2 Leading Coe. = 2 Skill Development/Guided Practice If there are parentheses, distribute the negative sign and rewrite as addition. Arrange in columns of like terms and then add. Write the final solution as standard form. & find the degree/ Leading Coe. of the polynomial Examples: CFU: Explain what we do in Step 1? CFU: Explain what we do in Step 2? CFU: Explain what we do in Step 3? 2 2 Leading Coe. = 2 Leading Coe. = 2

+ Examples: 4 Leading Coe. = -10 Leading Coe. = 2 4 Skill Development/Guided Practice If there are parentheses, distribute the negative sign and rewrite as addition. Arrange in columns of like terms and then add. Write the final solution as standard form. Examples: + CFU: Explain what we did in Step 2? CFU: Explain what we did in Step 3? 4 Leading Coe. = -10 Leading Coe. = 2 4

Relevance Peter is a landscape designer and is trying to create a garden. Peter wants to design the garden so that it resembles a square contained within a rectangle. The modeled area of the square is given by the expression 2x2 + 5x – 2, and the area of the rectangle is given by the expression 8x2 – 7. Peter wants to figure out the area of the rectangle minus the area of the square in order to determine what area he has available for planting some plants. What is the area Peter will have available for planting? Jennifer tried to subtract two polynomials. Her work is shown below: At which step did Jennifer make an error, if at all and fix the error? 6x2 – 5x – 5 Michael tried to subtract two polynomials. His work is shown below: At which step did Michael make an error, if at all and fix the error?

Closure Arrange in columns of like terms and then add. If there are parentheses, distribute the negative sign and rewrite as addition. Write the final solution as standard form. Summary Closure What did you learn today about adding and subtracting polynomial? Independent Practice/Periodic Reviews