MPM2D1 Date: _____________ Day 2: Multiplying Binomials PART A - CLASSIFYING POLYNOMIALS You can classify a polynomial by its number of terms or its degree. 1. NUMBER of TERMS A monomial has just one term. For example: 4x 2 . Remember that a term contains both the variable(s) and its coefficient (the number in front of it.) So the is just one term. A binomial has two terms. For example: 5x 2 -4x A trinomial has three terms. For example: 3y 2 +5y-2 Any polynomial with four or more terms is just called a polynomial. For example: 2y 5 + 7y 3 - 5y 2 +9y-2 2. NUMBER of DEGREE The degree of the polynomial is found by looking at the term with the highest exponent on its variable(s). Examples: 5x 2 -2x+1 The highest exponent is the 2 so this is a 2 nd degree trinomial. 3x 4 +4x 2 The highest exponent is the 4 so this is a 4 th degree binomial. 8x-1 While it appears there is no exponent, the x has an understood exponent of 1; therefore, this is a 1 st degree binomial. 5 There is no variable at all. Therefore, this is a 0 degree monomial. It is 0 degree because x 0 =1. So technically, 5 could be written as 5x 0 . 3x 2 y 5 Since both variables are part of the same term, we must add their exponents together to determine the degree. 2+5=7 so this is a 7 th degree monomial. http://padlet.com/Bulut/classifyingpolynomials
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MPM2D1 Date: _____________
Day 2: Multiplying Binomials
PART A - CLASSIFYING POLYNOMIALS
You can classify a polynomial by its number of terms or its degree.
1. NUMBER of TERMS
A monomial has just one term. For example: 4x2. Remember that a
term contains both the variable(s) and its coefficient (the number in front
of it.) So the is just one term.
A binomial has two terms. For example: 5x2 -4x
A trinomial has three terms. For example: 3y2+5y-2
Any polynomial with four or more terms is just called a polynomial.
For example: 2y5+ 7y
3- 5y
2+9y-2
2. NUMBER of DEGREE
The degree of the polynomial is found by looking at the term with
the highest exponent on its variable(s).
Examples:
5x2-2x+1 The highest exponent is the 2 so this is a 2
nd degree trinomial.
3x4+4x
2 The highest exponent is the 4 so this is a 4
th degree binomial.
8x-1 While it appears there is no exponent, the x has an
understood exponent of 1; therefore, this is a 1st degree binomial.
5 There is no variable at all. Therefore, this is a 0 degree
monomial. It is 0 degree because x0=1. So technically, 5 could be written
as 5x0.
3x2y
5 Since both variables are part of the same term, we must add
their exponents together to determine the degree. 2+5=7 so this is
Multiplying Polynomials Using Algebra Tiles Name Date
Use algebra tiles to model each multiplication problem and find the product. Draw your model in the frame. Write your simplified answer in the space provided.