
Classifying Polynomials
Presentation
•
Mathematics
•
9th Grade
•
Hard
James Gonzalez
FREE Resource
10 Slides • 10 Questions
1
CLASSIFYING POLYNOMIALS
A POLYNOMIAL can be classified by its number of terms and by its degree.
2
NUMBER OF TERMS
A polynomial with 1 term is a MONOMIAL.
A polynomial with 2 terms is a BINOMIAL.
A polynomial with 3 terms is a TRINOMIAL.
A polynomial with more than 3 terms is called a POLYNOMIAL.
3
DEGREE OF A MONOMIAL
The degree of a monomial is the sum of the exponents of the variables.
EXAMPLE - The degree of
a2bc3 is 6 because 2+1+3=6
4
DEGREE OF A POLYNOMIAL
The degree of a polynomial is the highest exponent.
Polynomials must be written in standard form before classifying by degree.
A polynomial with one variable is written in standard form when its terms are written in descending order by degree.
5
6
5x2−2x+1
The highest exponent is the 2 and there are 3 terms.
This is a QUADRATIC TRINOMIAL.
7
3x4+4x2
The highest exponent is the 4 and there are 2 terms.
This is a QUARTIC BINOMIAL.
8
8x−1
While it appears there is no exponent, the x has an understood exponent of 1 and there are 2 terms.
Therefore, this is a LINEAR BINOMIAL.
9
5
There is no variable at all and there is one term.
Therefore, this is a CONSTANT MONOMIAL.
Technically, 5 could be written as 5x0 because of the
Zero Power Property of Exponents.
10
3x2y5
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 7TH DEGREE MONOMIAL.
11
Multiple Choice
Classify the polynomial by its number of terms.
MONOMIAL
BINOMIAL
TRINOMIAL
POLYNOMIAL
12
Multiple Choice
Classify the polynomial by its number of terms.
MONOMIAL
BINOMIAL
TRINOMIAL
POLYNOMIAL
13
Multiple Choice
Classify the polynomial by its number of terms.
MONOMIAL
BINOMIAL
TRINOMIAL
POLYNOMIAL
14
Multiple Choice
Classify the polynomial by its number of terms.
MONOMIAL
BINOMIAL
TRINOMIAL
POLYNOMIAL
15
Multiple Choice
Classify the polynomial by its number of terms.
MONOMIAL
BINOMIAL
TRINOMIAL
POLYNOMIAL
16
Multiple Choice
Classify the polynomial by its degree.
CONSTANT
LINEAR
QUADRATIC
CUBIC
QUARTIC
17
Multiple Choice
Classify the polynomial by its degree.
LINEAR
CUBIC
QUADRATIC
QUARTIC
QUINTIC
18
Multiple Choice
Classify the polynomial by its degree.
CONSTANT
LINEAR
QUADRATIC
CUBIC
QUARTIC
19
Multiple Choice
Classify the polynomial by its degree.
CONSTANT
LINEAR
QUADRATIC
CUBIC
QUARTIC
20
Multiple Choice
Classify the polynomial by its degree.
LINEAR
QUADRATIC
CUBIC
QUARTIC
QUINTIC
CLASSIFYING POLYNOMIALS
A POLYNOMIAL can be classified by its number of terms and by its degree.
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