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degree of a polynomial

### Teaching Polynomial Sketching

I gave my students a few polynomial equations, a few quick check sheets and asked them to find the degree, end behavior, zeros, if there were any multiplicities, the domain, and to sketch the polynomial graph. We did some more practice with various degree polynomials, ones that we first had to factor, and ones with multiplicities greater than 2.

The degree of polynomial is the greatest exponent of a term. The greatest exponent should have a non-zero coefficient in a polynomial expressed as a sum or difference of terms which is commonly known as Canonical form. The sum of the powers of all variables in the term is the degree of the polynomial. The degree can also be specified as order. The degree of polynomial is for the single variable or the combination of two or more variables with the powers.

Main+Objectives: 1-+Understand+the+Characteristics+of+Polynomials 2-+Create+connections+between+the+Degree+of+a+polynomial+and+the+Number+of+Zeros+(x-intercepts) 3-+Create+connections+between+the+Degree+of+a+polynomial+and+the+Number+of+Turning+Points+(Maxima+and+Minima) By+the+end+of+this+lesson,+students+should+be+able+to+distinguish+polynomials+by+identifying+their+degrees+and+listing+their+properties+i.e+patterns+with+respect+to+even+or+odd+degrees, end+behavior...

The degree of polynomial is the greatest exponent of a term. The greatest exponent should have a non-zero coefficient in a polynomial expressed as a sum or difference of terms which is commonly known as Canonical form. The sum of the powers of all variables in the term is the degree of the polynomial. The degree can also be specified as order. The degree of polynomial is for the single variable or the combination of two or more variables with the powers.

### Introduction to Polynomials Lesson

Introduction to Polynomials Lesson - defining a polynomial and the classification by degree and number of terms.

Video - How to determine the degree of a polynomial

How to Find the Degree of a Polynomial

End behavior "discovery" intro - start with a basic introduction to vocabulary (degree, leading coefficient). Give each group a copy of the first page to cut out and sort based on the degree and leading coefficient. We'll then compare the end behavior of the graphs in each group to come up with the "rules" for polynomial end behavior.

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