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Practice Naming Polynomials
Contributed by: Miles
(Original author: Pappal)
Polynomials are named based on two criteria:
Polynomials are named based on two criteria:
1.  the highest exponent (degree)
Polynomials are named based on two criteria:
1.  the highest exponent (degree)
2. the number of terms
Polynomials are named based on two criteria:
So when given a polynomial
1.  the highest exponent (degree)
2. the number of terms
Polynomials are named based on two criteria:
So when given a polynomial
1.  the highest exponent (degree)
2. the number of terms
x3-4x2+3x-1
Polynomials are named based on two criteria:
So when given a polynomial
The highest exponent (degree) is three
1.  the highest exponent (degree)
2. the number of terms
x3-4x2+3x-1
highest exponent
Polynomials are named based on two criteria:
So this is a "cubic polynomial with four terms".
So when given a polynomial
The highest exponent (degree) is three
1.  the highest exponent (degree)
2. the number of terms
and the number of terms is four
x3-4x2+3x-1
1

2

3
4

four terms

Here are two charts that will help us in classification
4

0

1
3
2
5
Exponent (Degree)
constant
linear
quadratic
quartic
quintic
cubic
1

4

3
2
Terms
monomial
Polynomial of 4 terms
binomial
trinomial

0

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

Determine the degree:

x– 5
2

4

1
3
Terms
monomial
Polynomial of 4 terms
binomial
trinomial

Cubic

Quadratic

Linear

Constant

0

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

Classify by the number of terms.

x– 5
2

4

1
3
Terms
monomial
Polynomial of 4 terms
binomial
trinomial

Four terms

Trinomial

Binomial

Monomial

0

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

Classify the polynomial.

x– 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
Degree
constant
linear
quartic
quintic
quadratic
cubic

Match the polynomial with the name

x3-5x+1
5
x5
2

4

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

0

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

Match the polynomial with the name

2x4-x3

x-5
x1
2

4

1
3
Terms
monomial
Polynomial of 4 terms
binomial
trinomial

Quartic Binomial

?

Linear Monomial

?

Linear Binomial

?

0

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

Match the polynomial with the name

2x – x3

x - 5
x+ 3x + 2
2

4

1
3
Terms
monomial
Polynomial of 4 terms
binomial
trinomial

Quadratic Trinomial

?

Cubic Binomial

?

Linear Binomial

?

0

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

Match the polynomial with the name

x3-5x+ 1
x2 – 5x + 4
5 – x3
2

4

1
3
Terms
monomial
Polynomial of 4 terms
binomial
trinomial
Cubic Binomial
?
Quadratic Trinomial
?
Quartic Trinomial
?
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