7.1 Multiplying and Dividing Monomials February 26, 2013
The Return of PolynomialsLabel the parts of the polynomial
2x2 3
Group the like terms
2x2 3x + 7 4x + 10x2 + 12
The Return of PolynomialsWe have previously learned how to add and subtract polynomials, but what should we do in this situation?
2(2x)
7.1 Multiplying and Dividing Monomials February 26, 2013
The Return of PolynomialsYou've seen this before...
2(3)
7.1 Multiplying & Dividing Polynomials
7.1 Multiplying and Dividing Monomials February 26, 2013
Expand: 5(2x)Multiplying
Expand: 3x(3x)Multiplying
7.1 Multiplying and Dividing Monomials February 26, 2013
Expand: 3x(2y)Multiplying
Expand 5(2x)
Multiplying
7.1 Multiplying and Dividing Monomials February 26, 2013
Expand 3x(3y)
Multiplying
Expand 10x(5x)
Multiplying
7.1 Multiplying and Dividing Monomials February 26, 2013
7.1 Multiplying and Dividing Monomials February 26, 2013
Mental Math
Add the following:2x + 3y 5x + 4y
Multiply the following:
3x(4x)
2x(10y)
Question
Why do we use a grid to show multiplication?
7.1 Multiplying and Dividing Monomials February 26, 2013
DividingWhat do we do in this situation?
105
Divide: Dividing
10x5
7.1 Multiplying and Dividing Monomials February 26, 2013
Divide: Dividing
8x22x
Divide: Dividing
12xy4x
7.1 Multiplying and Dividing Monomials February 26, 2013
DividingDivide:
10x5
DividingDivide:
12xy4x
7.1 Multiplying and Dividing Monomials February 26, 2013
DividingDivide:
14x22x
Word ProblemsWhat is an expression for the area of the rectangle?
4.3x
2x
7.1 Multiplying and Dividing Monomials February 26, 2013
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?
BTW the height of a triangle can be found:
Height = 2 x area/base
7.1 Multiplying and Dividing Monomials February 26, 2013
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