Module 10: Lesson 3: Multiplying Polynomials

Module 10: Lesson 3: Multiplying Polynomials

By Mr. Carozza and Ms. San

Multiplying Polynomials

​Our next topic is taking us back to multiplication.of Polynomials

First, we are going to use a box method​ to organize our work.

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In order to decide how many boxes are needed, we focus on the number of terms of each polynomial we are multiplying.​

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Terms are separated by a plus (+) or minus (-) sign

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Let's recall terms in Polynomials

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Write the number of terms​ above the polynomials shown

​Apply this to the following polynomials being multiplied

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2 terms * 2 terms = 4 boxes

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Remember 4 square on the playground?

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Mr. C will beat all of you​

​binomial * binomial

2 * 2 = 4​

​(x + 4)(x - 8)

​Ex: (x + 4) (x - 8)

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1 term * 2 terms = 2 boxes

​monomial * binomial

1 * 2 = 2

​-5(x + 6)​

​Ex: -5(x + 6)

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2 terms * 3 terms = 6 boxes

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​binomial * trinomial

2 * 3 = 6​

(x + 2) (x² -3x + 5)

​Ex: (x + 2) (x² -3x + 5)

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1 term * 3 terms = 3 boxes

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​monomial * trinomial

1 * 3 = 63

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2 (x³ +7x - 6)

​Ex: 2 (x³ +7x - 6)

Multiple Choice

Multiply:

$$\left(x-4\right)\left(x+8\right)$$  

• $$x^2+4x-32$$  

• $$x^2-4x-32$$  

• $$x^2+4x+32$$  

• $$x^2+12x-32$$  

Multiple Choice

Multiply:

$$\left(x+5\right)\left(x+7\right)$$  

• $$x^2+2x-35$$  

• $$x^2-2x-12$$  

• $$x^2+2x-35$$  

• $$x^2+12x+35$$  

Draw

$$\left(4x+2\right)\left(x^2-5x+4\right)$$  

Draw

$$\left(2x-5\right)\left(3x+7\right)$$  

Nice work! Way to take care of the task

Your task is to finish #1 - 8 on the guided notes.

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Second task, put your guided notes in your classes folder hanging by the computer cart.​

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