7.1 multiplying & dividing monomials

7.1 Multiplying and Dividing Monomials

1

January 09, 2014

The Return of PolynomialsLabel the parts of the polynomial

2x2 3

Group the like terms

2x2 3x + 7 4x + 10x2 + 12


2

January 09, 2014

The Return of PolynomialsWe have previously learned how to add and subtract polynomials, but what should we do in this situation?

2(2x)


3

January 09, 2014

The Return of PolynomialsYou've seen this before...

2(3)


4

January 09, 2014

7.1 Multiplying & Dividing Monomials


5

January 09, 2014

When we talk about adding lengths of a polygon, we are talking about the....


6

January 09, 2014

When we talk about multiplying lengths of a polygon (rectangle), we are talking about the....


7

January 09, 2014

To help us visualize multiplying polynomials, we are going to find the "area" of a rectangle made by those two "lengths".


8

January 09, 2014

Expand: 5(2x)Multiplying


9

January 09, 2014

Expand: 3x(3x)Multiplying


10

January 09, 2014

Expand: 3x(2y)Multiplying


11

January 09, 2014

Expand 5(2x)

Multiplying


12

January 09, 2014

Expand 3x(3y)

Multiplying


13

January 09, 2014

Expand 10x(5x)

Multiplying


14

January 09, 2014

Review

Multiply the following:

3x(4x)

2x(10y)

12xy(3x)


15

January 09, 2014

Question

Why do we use a grid to show multiplication?


16

January 09, 2014

DividingWhat do we do in this situation?

105


17

January 09, 2014

Divide: Dividing

10x5


18

January 09, 2014

Divide: Dividing

8x22x


19

January 09, 2014

Divide: Dividing

12xy4x


20

January 09, 2014

DividingDivide:

10x5


21

January 09, 2014

DividingDivide:

12xy4x


22

January 09, 2014


23

January 09, 2014

DividingDivide:

14x22x


24

January 09, 2014


25

January 09, 2014

Word ProblemsWhat is an expression for the area of the rectangle?

4.3x

2x


26

January 09, 2014

Word ProblemsThe area of a triangle is given by the expression 18x2. The base of the triangle is represented by 4x. What is the height of the triangle in terms of x?


27

January 09, 2014


28

January 09, 2014

7.1 multiplying & dividing monomials

Education