Lesson Naming Polynomials
Polynomials are named based on two criteria
Polynomials are named based on two criteria
1.  the highest exponent
Polynomials are named based on two criteria
1.  the highest exponent
2. the number of terms
Polynomials are named based on two criteria
So when given a polynomial
1.  the highest exponent
2. the number of terms
Polynomials are named based on two criteria
So when given a polynomial
1.  the highest exponent
2. the number of terms
x3-4x2+3x-1
Polynomials are named based on two criteria
So when given a polynomial
The highest exponent is three
1.  the highest exponent
2. the number of terms
x3-4x2+3x-1
highest exponent
Polynomials are named based on two criteria
So when given a polynomial
The highest exponent is three
1.  the highest exponent
2. the number of terms
and the number of terms is four
x3-4x2+3x-1
1

2

3
4

four terms

Here's two charts that will aid us in naming

0

1
2
3
4
5
Exponent
constant
linear
quartic
quintic
quadratic
cubic
2

4

1
3
Terms
monomial
Polynomial of 4 terms
binomial
trinomial

0

1
2
3
4
5
Exponent
constant
linear
quartic
quintic
quadratic
cubic

Name the polynomial

x2-5
2

4

1
3
Terms
monomial
Polynomial of 4 terms
binomial
trinomial

Quadratic Binomial

Quadratic Monomial

Linear Binomial

Linear Monomial

0

1
2
3
4
5
Exponent
constant
linear
quartic
quintic
quadratic
cubic
x3-5x+1

Match the polynomial with the name

5
x5
2

4

1
3
Terms
monomial
Polynomial of 4 terms
binomial
trinomial
Cubic Trinomial
?
Constant Monomial
?
Quintic Monomial
?

0

1
2
3
4
5
Exponent
constant
linear
quartic
quintic
quadratic
cubic
x-5

Match the polynomial with the name

2x4-x3

x1
2

4

1
3
Terms
monomial
Polynomial of 4 terms
binomial
trinomial

Linear Binomial

?

Quartic Binomial

?

Linear Monomial

?
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