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Polynomials

Polynomials

Polynomials. Main idea. Main idea. Main idea. Main idea. Monomials. Binomials. Trinomials. Polynomials. Example: 4x 3 Cubic 5 Constant Number of terms : One Degree: Sum the exponents of its variables. Example: 7x + 4 Linear 9x 4 +11 4 th degree

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Binomials

Binomials

Multiplying and Factoring Binomials . Binomials. Multiplying Binomials. In multiplying binomials, such as (3x - 2)(4x + 5), you might use a generic rectangle. Make sure that you multiply each term in the correct box. Don’t forget the negatives! 12x² - 8x + 15x – 10 Combine like terms

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Multiplying Binomials

Multiplying Binomials

Multiplying Binomials. Objectives: To Multiply Two Binomials FOIL To multiply the sum and difference of two expressions To square a binomial. Example 1. Multiply. (x + 2)(x + 3). FOIL. u t s i d e. i n s i d e. a s t. i r s t. = (x)(x) +. (x)(3) +. (2)(x) +.

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Multiplying Binomials

Multiplying Binomials

Multiplying Binomials. Binomial. An algebraic expression which contains two terms is known as Binomial  Example 1 : 2 x + 3 x 2 It is a Binomial, because it contains two terms 2 x and 3 x 2 Example 2 : 9pq + 11p 2 q

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FACTORING BINOMIALS

FACTORING BINOMIALS

FACTORING BINOMIALS. Factoring Binomials (4 Possibilities). • GCF (Greatest Common Factor) • Difference of Squares •Sum or Difference of Cubes • Prime (Not Factorable). If a GCF exists, simply factor it out.

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MULTIPLYING BINOMIALS

MULTIPLYING BINOMIALS

MULTIPLYING BINOMIALS. Solve the following problems using the distributive property. x ( 3 + 7 ) = ( 2x + 3 ) x =. 3x + 7x 10x. 2x 2 + 3x. OBJECTIVE. Today we will learn how to multiply binomials by using the FOIL method. USING THE DISTRIBUTIVE PROPERTY. ( x + 2 ) ( x + 5 ) =.

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Multiplying Binomials

Multiplying Binomials

Multiplying Binomials . How to use the box method. What is a Binomial?. Binomial : an expression containing two unlike-terms joined by addition or subtraction with at least one variable Example: 3x-5 2a+4b 3x 2 +x. Multiplying Binomials.

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Multiplying Binomials

Multiplying Binomials

Multiplying Binomials. Mrs. Reynolds 2/19/14. Warm-Up. STAAR EOC Algebra I Question. Multiplying Binomials. When multiplying two binomials, you can use the FOIL Method. FOIL is a series of four steps using the Distributive Property to multiply two binomials . F irst O uter I nner L ast.

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Multiplying Binomials

Multiplying Binomials

Multiplying Binomials. ALGEBRA 1 LESSON 9-3. (For help, go to Lesson 9-2.). Find each product. 1. 4 r ( r – 1) 2. 6 h ( h 2 + 8 h – 3) 3. y 2 (2 y 3 – 7) Simplify. Write each answer in standard form. 4. ( x 3 + 3 x 2 + x ) + (5 x 2 + x + 1)

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Adjective binomials 1

Adjective binomials 1

Adjective binomials 1. alive and kicking/well black and blue/white clean and tidy. high and dry/mighty. Adjective binomials 2. loud and clear pure and simple said and done sick and tired thick and thin. Some noun binomials. Bits and pieces/bobs

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Multiplying Binomials

Multiplying Binomials

Multiplying Binomials. ALGEBRA 1 LESSON 9-3. Simplify (2 y – 3)( y + 2). ( 2 y – 3 )( y + 2) = ( 2 y – 3 )( y ) + ( 2 y – 3 )(2) Distribute 2 y – 3. = 2 y 2 – 3 y + 4 y – 6 Now distribute y and 2. = 2 y 2 + y – 6 Simplify. 9-3. First. Outer. Inner. Last.

By dsacco (0 views)