Adding Subtracting Polynomials

Sep 09, 2012

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Adding Subtracting Polynomials

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1. Adding & Subtracting Polynomials

Adding and Subtracting Polynomials

Adding and Subtracting Polynomials. Polynomials: Expressions that may contain numbers, variables, and operations 5a + 8 - 9n + 7a - 6y 2 Terms: Parts of a polynomial, separated by addition or subtraction operations 5a + 8 - 9n + 7a - 6y 2 Coefficient: The numeric part of a term

657 views • 4 slides

Adding and Subtracting Polynomials

Adding and Subtracting Polynomials. 1/6/2014. Example 1. a. Add and. –. –. –. 2 x 3. 4 x 2. x 3. 6 x 2. +. +. +. x. 9. 5 x. 1. SOLUTION. a. . –. 2 x 3. 4 x 2. +. +. x. 9. –. –. x 3. 6 x 2. +. +. 5 x. 1. –. 3 x 3. 2 x 2. +.

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Adding and Subtracting Polynomials

Adding and Subtracting Polynomials. Honors Math – Grade 8. Study Tip. When adding polynomials, remember to use the integer rules!. Add Polynomials Find . Method 1. Method 2. ( 3x 2 – 4x + 8 ) + ( 2x – 7x 2 – 5 ). Write in column form. Align like terms. Group like terms. Add.

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Adding and Subtracting Polynomials

Adding and Subtracting Polynomials. Monday , March 3 , 2014. Mono- is a prefix meaning “one” Bi- is a prefix meaning “two” Tri- is a prefix meaning “three” Poly - is a prefix meaning “many” - nomial is a suffix meaning “terms” Polynomial = Many Terms. What are. Polynomials?.

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Adding and Subtracting Polynomials

Adding and Subtracting Polynomials. ALGEBRA 1 LESSON 9-1. (For help, go to Lesson 1-7.). Simplify each expression. 1. 6 t + 13 t 2. 5 g + 34 g 3. 7 k – 15 k 4. 2 b – 6 + 9 b 5. 4 n 2 – 7 n 2 6. 8 x 2 – x 2. 9-1. Adding and Subtracting Polynomials. ALGEBRA 1 LESSON 9-1.

938 views • 63 slides

Adding and Subtracting Polynomials

Adding and Subtracting Polynomials. Like Terms. Like Terms refers to monomials that have the same variable(s) but may have different coefficients. The variables in the terms must have the same powers. Which terms are like? 3a 2 b, 4ab 2 , 3ab, -5ab 2. 4ab 2 and -5ab 2 are like.

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Adding and Subtracting Polynomials

Adding and Subtracting Polynomials. Lesson 8-1. Vocabulary. Monomial: a real number, or variable with a whole number as an exponent: Binomial: two monomials being added or subtracted. Trinomial: three monomials being added or subtracted. Label each as a monomial, binomial or trinomial.

1.21k views • 97 slides

Adding and Subtracting Polynomials

Equation. Degree. Function. linear. f ( x ) = mx + b. one. quadratic. f ( x ) = ax 2 + bx + c , a  0. two. cubic. f ( x ) = ax 3 + bx 2 + cx + d , a  0. three. Adding and Subtracting Polynomials.

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Adding and Subtracting Polynomials

Adding and Subtracting Polynomials. Lesson 9-1. Degree: 0. The degree of a nonzero constant is 0. Degree: 4. The exponents are 1 and 3. Their sum is 4. Degree: 1. 6 c = 6 c 1 . The exponent is 1. Adding and Subtracting Polynomials. Lesson 9-1. Find the degree of each monomial. a. 18 .

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Adding and Subtracting Polynomials

7 is a constant. –5. –1. 4 6 – 1. – x = –1 • x. COURSE 3 LESSON 12-9. Adding and Subtracting Polynomials. Name the coefficients in each polynomial. a. b. The coefficients are –5 and –1. The coefficients are 4, 6, and –1. 12-9. Method 1 Add using tiles. COURSE 3 LESSON 12-9.

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Adding & Subtracting Polynomials

Adding & Subtracting Polynomials. Lesson 10.1. Learning Goal 1 (HS.N-RN.B3 and HS.A-SSE.A.1): The student will be able to use properties of rational and irrational numbers to write, simplify, and interpret expressions based on contextual situations. Polynomial : Poly: Many nomial: terms.

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Adding and Subtracting Polynomials

Adding and Subtracting Polynomials. By: Abby Storey, Ashley Stone, & Dori Heissenbuttel. Main Concepts. Adding like terms Switch the signs when subtracting but only on the right side If there’s a term that doesn’t match another it stays the same. Examples.

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Adding & Subtracting Polynomials

Adding & Subtracting Polynomials. A-APR.A.1 : I can adding and s ubtracting polynomial expressions. Steps to Adding or Subtracting Polynomials. Identify like terms. Add or subtract only the coefficients of the like terms. Note:. 3. Write the simplified expression in standard form.

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Adding & Subtracting Polynomials

Adding & Subtracting Polynomials. Lesson 10.1. Polynomial : Poly: Many nomial: terms. Form: ax k. Where k is a non-negative integer. This is a polynomial in one variable. k is the degree of ax. ax alone has a degree of 1. The constant “a” has a degree of 0.

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Adding and Subtracting Polynomials

Adding and Subtracting Polynomials. Defining Polynomials Adding Like Terms. Vocabulary. Monomials - a number, a variable, or a product of a number and one or more variables. 4x, 20x 2 yw 3 , -3, a 2 b 3 , and 3yz are all monomials. Polynomials – one or more monomials added or subtracted

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Adding and Subtracting Polynomials

Adding and Subtracting Polynomials. ALGEBRA 1 LESSON 9-1. pages 459–461 Exercises 1. 1 2. 3 3. 0 4. 10 5. 4 6. 0 7. 4 8. 0 9. quadratic trinomial 10. linear binomial 11. cubic trinomial. 21. 8 m 2 + 15 22. 10 k + 4 23. 8 w 2 – 3 w + 4

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Adding and Subtracting Polynomials

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Adding and Subtracting Polynomials

Adding and Subtracting Polynomials. 1. Determine whether the given expression is a monomial (Yes or No). For those that are monomials, state the coefficient and degree. (similar to p.323 #30).

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Adding & Subtracting Polynomials

Adding & Subtracting Polynomials. What is a Polynomial?. View this Cool Math lesson introducing Polynomials. There is only the 1 page of notes. Describe Polynomials. View this Cool Math lesson introducing terms describing Polynomials. There are 3 pages of notes.

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Adding & Subtracting Polynomials

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Adding and Subtracting Polynomials

Adding and Subtracting Polynomials. Objective: Students will add and subtract polynomials. S. Calahan March 2008. Adding. To add polynomials group like terms horizontally or write them in column form, aligning like terms. (3x 2 – 4x + 8) + (2x – 7x 2 – 5). Method 1: horizontal

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Adding and Subtracting Polynomials

Adding and Subtracting Polynomials. Warm Up. Lesson Presentation. Lesson Quiz. Holt Algebra 1. Warm Up Simplify each expression by combining like terms. 1. 4 x + 2 x 2. 3 y + 7 y 3. 8 p – 5 p 4. 5 n + 6 n 2 Simplify each expression. 5. 3( x + 4) 6. –2( t + 3)

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Adding Subtracting Polynomials

Adding Subtracting Polynomials

Presentation Transcript

Adding and Subtracting Polynomials

Adding and Subtracting Polynomials

Adding and Subtracting Polynomials

Adding and Subtracting Polynomials

Adding and Subtracting Polynomials

Adding and Subtracting Polynomials

Adding and Subtracting Polynomials

Adding and Subtracting Polynomials

Adding and Subtracting Polynomials

Adding and Subtracting Polynomials

Adding &amp; Subtracting Polynomials

Adding and Subtracting Polynomials

Adding &amp; Subtracting Polynomials

Adding &amp; Subtracting Polynomials

Adding and Subtracting Polynomials

Adding and Subtracting Polynomials

Adding and Subtracting Polynomials

Adding and Subtracting Polynomials

Adding &amp; Subtracting Polynomials

Adding &amp; Subtracting Polynomials

Adding and Subtracting Polynomials

Adding and Subtracting Polynomials

Adding & Subtracting Polynomials

Adding & Subtracting Polynomials

Adding & Subtracting Polynomials

Adding & Subtracting Polynomials

Adding & Subtracting Polynomials