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Multiplying Polynomials This PowerPoint will show you two methods that will multiply polynomials Brandon Young
What are Polynomials? A polynomial is made up of terms that are only added, subtracted, or multiplied. It can have constants, variables, and exponents. Polynomials can have many terms.
Multiply. (2x + 3)(5x + 8) Using the Distributive property, multiply 2x(5x + 8) + 3(5x + 8). 10x x + 15x + 24 Combine like terms. 10x x + 24 Another option is called the FOIL method.
FOIL F irst terms O uter terms I nner terms L ast terms
Foil Method The FOIL method can be used when you multiply 2 binomials. It tells you which terms to multiply. Use the FOIL method to multiply these binomials: (y + 3)(y + 7).
(y + 3)(y + 7). F tells you to multiply the FIRST terms of each binomial. y 2
(y + 3)(y + 7). O tells you to multiply the OUTER terms of each binomial. y2 + 7y
(y + 3)(y + 7). I tells you to multiply the INNER terms of each binomial. y2 + 7y + 3y
Monomial times a Binomial x(x+4) Multiply each term in the parentheses by x = x 2 +4x The problem was completed using the distributive property.
Monomial times a Trinomial 2x(x 2 +3x+4) Multiply the Monomial: 2x by the Trinomial: x 2 +3x+4 =2x 3 +6x 2 +8x
(y + 3)(y + 7). L tells you to multiply the LAST terms of each binomial. y2 + 7y + 3y + 21 Combine like terms. y2 + 10y + 21 is your Final Answer.
Sources html-http://www.mathsisfun.com/algebra/polynomials. html- px h/algebra/AV3/multMon.htm
Simplify the expression. 1.(–3x 3 )(5x) ANSWER –15x 4 ANSWER –9x–9x 2. 9x – 18x 3. 10y 2 + 7y – 8y 2 – 1 ANSWER 2y 2 + 7y – 1.
5.4 Multiplying Polynomials Objective: Multiply monomials by binomials and trinomials. Learn to use the F.O.I.L. method.
Multiplying Polynomials MATH 017 Intermediate Algebra S. Rook.
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Copyright © 2014, 2010, 2006 Pearson Education, Inc. Section 5.3 Slide 1 Exponents and Polynomials 5.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
1.4 Polynomials. Polynomials Degree of term = sum of exponents on variables Degree of Poly = largest degree among terms Poly Type (# of terms) Degree.
Warm Up Simplify each expression: 1.(-4) (5x) 2 5x 1 4.-(-4.9) 0 5.[(3x 4 y 7 z 12 ) 5 (–5x 9 y 3 z 4 ) 2 ] 0.
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Copyright © 2010 Pearson Education, Inc. All rights reserved. 5.3 – Slide 1.
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Multiply Polynomials When multiplying polynomials, we always use the Distributive Property.
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Multiplying Polynomials Distribute and FOIL. Polynomials * Polynomials Multiplying a Polynomial by another Polynomial requires more than one distributing.
Mrs. Rivas International Studies Charter School. How we Define Polynomials Polynomial: Polynomial: is a single term or the sum of two or more terms containing.
Aim: How do we multiply polynomials? Do Now: Multiply the following 1. 2x(3x + 1) 2. (x – 1)(x + 2) 3. (x +2)(x 2 – 3x + 1)
Polynomial Review What is a polynomial? An algebraic expression consisting of one or more summed terms, each term consisting of a coefficient and one or.
Name ____________________________________________ Date _______________ Per_____ Polynomials Review Adding Ex: 1. Simplify 2. Find the perimeter Subtracting.
Do Now: 1. 2x 3 x 3 = ________ 2. 2x 3 3x 2 = ________ 3. 2x 3 (-2x) = ________ 4. 2x 3 5 = ________.
POLYNOMIALS INTRODUCTION. What does each prefix mean? mono one bi two tri three.
ADD & SUBTRACT POLYNOMIALS. 1. Add the following polynomials: (9y - 7x + 15a) + (-3y + 8x - 8a) Group your like terms. 9y - 3y - 7x + 8x + 15a - 8a 6y.
1 Section 1.8 Multiplication of Algebraic Expressions.
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Polynomials Identify monomials and their degree Identify polynomials and their degree Adding and Subtracting polynomial expressions Multiplying polynomial.
5.9 Multiplication of Monomials and Binomials Goals: 1.To multiply a monomial and a poly 2.To multiply 2 binomials (FOIL)
Polynomials. 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.
Multiplying Polynomials *You must know how to multiply before you can factor!”
Polynomials Identify Monomials and their Degree Identify Polynomials and their Degree Adding, Subtracting, Multiplying, and Dividing Polynomial Expressions.
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Mrs. Reynolds 2/19/14. When multiplying two binomials, you can use the FOIL Method. FOIL is a series of four steps using the Distributive Property.
Degree The largest exponent Standard Form Descending order according to exponents.
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