Algebra - only covering 2.2-2.3 Aiden. Learning Objectives 2.2 When a polynomial is given You will need to be able to tell yourself The highest degree.

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Presentation transcript:

Algebra - only covering Aiden

Learning Objectives 2.2 When a polynomial is given You will need to be able to tell yourself The highest degree of the function [biggest power that was raised to the X] The graph of the function The factor form of the function [showing zeros and coefficient]

Adding + Subtracting Polynomial  Combining like terms  EX. 1 Find the sum of the polynomial:  Adding like terms [a term that has the same amount of X’s can be combine]  The answer would be x + 20x x x 4

Subtracting Rules If there is a function subtracting another function ex: 1. It is subtracting 2. This also means 3. Distribute the -1 to the X^2 and Solve (2x 2 +4) - (x 2 -3) (2x 2 +4) + -1(x 2 -3) (2x 2 +4) + (-x 2 +3)

Practice Problems For adding + subtracting Link is below My google doc is below GZoqV3pB8rwzSK8ab_k_wtvc7H260V- hw/edit?usp=sharing Answer 2nd page As to “how to get the 3rd page And any other question address it below Google Questionnaire :

2.3 Multiplying + Dividing

Learning Objective 2.3 When a polynomial is given You will need to be able to tell me The product which the two function multiply to each other The exponent rules Some Ways to Solve special cases difference of sq. difference of 2 cube sum of 2 cube Expanding a function that is raised to a power’ Using Pascal's triangle to expand binomial

If You Don’t Know What FOIL Is... Watch This

If You Don’t Know What Exponent Rule Is... Watch This

Let’s Focus on “FOIL” Difficulty: 4 1. Multiply 3x * x a. 3x^2 b. “3X” is distributed to “X” c. When X and X are multiplied together, its power will be added 2. Multiply (x-3) * (2x+1) a. FOIL it b. (X) * (2x) + (x) * (1) + (-3) * (2x) + (-3) * (1) c. 2X^2 + X - 6x - 3 d. 2X^2 - 5x Solve: (x 2 +11x-2) * (3x 3 -16x 2 +1)

Difference of 2 squares 1. It only work if a. (a-b)(a+b) → For example: (3x-4)(3x+4) a = 3x b = 4 (a) 2 - (b) 2 Solution: 9x^2 - 16

Sum of two cubes 1. Expand the factored form to standard form a. It follow this pattern: b. For example : (x^3 + 1) c. X = x d. Y = 1 2. Plug the number in and solve it! a. (x+1)(x^2-(x)(1)+1^2 3. Solution X 3 + Y 3 = (x+y) (x 2 -xy+y 2 )

Differences of Two Cubes 1. Follow everything on the previous slide for the sum 2. Except ■ For example: (x^3 - 1) a. Find the X b. Find the Y c. Plug number in d. Solve X 3 - Y 3 = (x-y) (x 2 +xy+y 2 ) X = (x+1) (x 2 +x+1)

Practice Problem for Multiplying ONLY Google Doc Link: FjXtB1W6WY/edit?usp=sharing FjXtB1W6WY/edit?usp=sharing 1 page is practice problem 2nd page is answer 3rd page is demonstrating how to approach the problem Google Form Link: