Multiplying Polynomials Using Box Method

The Box Method is Pretty Simple.

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As you see here all you have to do is multiply every term in the first box by the second box as shown

​The Box Method!

The simple version of it is to multiply the inside by the out side

​How to do

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

​PEMDAS

Things you need to know for Multiplying Polynomials

Distributive property- Multiplying the term outside the parentheses by the term inside

Exponent-Tell us how many times a base is used as a factor

Variable- a letter; a placeholder for a number

Constant-a fixed value: a term on its own

Coefficient- a number used to multiply a variable

Like term- Terms with variables raised to the same power

​definition

Distributive property

exponents

variables

constants

coefficient

Like Terms

​Vocabulary

Things you need to know for Multiplying Polynomials

Multiple Choice

What is the first step to (2x+4^2)(3x+19x+5)

• Add everything inside of the parentheses

• Simply 4^2

• Multply everything in the second parenthese box by 2x

• add 3x and 19x

Multiple Choice

What is the second step to (2x+4^2)(3x+19x+5)

• Add everything inside of the parentheses

• Simply 4^2

• Multply everything in the second parenthese box by 2x

• add alike terms

Try out the equation

(2x+4^2)(3x+19x+5)

Multiple Choice

(2x+4^2)(3x+19x+5)

• 44^2 + 36x + 80

• 44x^2 + 88x^2 + 10x+ 10^2

• 132x^2 + 10x + 10^2

These are very simple mistakes that may come from not having the previous skills that Multiplying Polynomials builds upon

​Fix it

There were a few reasons how you could have got this wrong

1. You didn't Simplify 3x and + 19x

2. you didn't simplify 4^2 to 16

The math

Why did you get this wrong?

Try something simpler

(5x+7)(10x+4)

Fill in the Blanks

(5x+7)(10x+4)

Last one

(5x^2+3^3)(4x-7)

Multiple Choice

(5x^2+3^3)(4x-7)

• 20x^3-35x^2+108x-189

• 20^3-35^2+108-189