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Review Operations with Polynomials December 9, 2010
Combine like terms (–4a³ + a² –1) – (–3a³ – a² + 2a + 5) = –4a³ + a² –1 + 3a³ + a² – 2a – 5 –Distribute the –1. = (–4a³ + 3a³) + (a² + a²) – 2a + (–1 – 5) –Group like terms. = –a³ + 2a² – 2a – 6 –Combine like terms.
Distributive Property review –2(3b³ – b² + 5b – 6) Multiply the -2 to each part of the polynomial -6b³ + 2 b² – 10b + 12 What is different about the next problem?
Multiplying 2 binomials Binomial is a polynomial with two parts (x + 4)(2x – 3) Use Foil Method or Box Method First x(2x)=2x² Outside(x)(-3)=-3x Inside(4)(2x)=8x Last(4)(-3)=-12 2x² - 3x + 8x – 12 = 2x² + 5x – 12
You try (x + 3)(x + 12) x² + 15x +36 (x – 5)( x – 3) x² – 8x + 15
Standard 10 add, subtract, multiply, and divide monomials and polynomials monomials are just one thing binomials are like bx + c polynomials are like ax².
Multiplying Polynomials Be able to use different methods to multiply two polynomials.
Pg. 15 #37-42, 46-49,53, 55. Learning Target: I will recognize the types of polynomials and multiply them together to get a single polynomials. Learning.
Objective: To be able to find the product of two binomials. Objective: To be able to find the product of two binomials. 8.7 Multiplying Polynomials Part.
Objective - To multiply polynomials. Multiply the polynomial by the monomial. 1) 3(x + 4) 2) 3) Distributive Property.
8.3 Multiplying Binomials
Warm Up 1.) What is the simplified form of –x2(2x3 + 5x2 + 6x)?
1.2 - Products Commutative Properties Addition: Multiplication:
© William James Calhoun, : Multiplying Polynomials OBJECTIVES: The student will (1) use the FOIL method to multiply two binomials, and (2) multiply.
I can show multiplying polynomials with the FOIL. OBJECTIVE.
Polynomials By C. D.Toliver. Polynomials An algebraic expression with one or more terms –Monomials have one term, 3x –Binomials have two terms, 3x + 4.
There are three techniques you can use for multiplying polynomials. The best part about it is that they are all the same! Huh? Whaddaya mean? It’s all.
5-2 Polynomials Objectives Students will be able to: 1)Add and subtract polynomials 2)Multiply polynomials.
Objective: The student will be able to: multiply two polynomials using the FOIL method, Box method, and the distributive property.
Multiplying Polynomials. To multiply exponential forms that have the same base, we can add the exponents and keep the same base.
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)
Lesson 7-7 Multiplying Polynomials
Day Problems Simplify each product. 1. 8m(m + 6) 2. -2x(6x3 – x2 + 5x)
Quiz 1) 2). Multiplying a Trinomial and Binomial We can’t FOIL because it is not 2 binomials. So we will distribute each term in the trinomial to each.
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