3. Monomial Polynomials
A Polynomial is a monomial,
or a sum of monomials
5x + 3
3x2 + 2x - 5
ab
b
a
2
1
5 2
3
Binomial
Trinomial
4. Review: What is a monomial?
• 1 term
• Number
• Variable
• Number & Variable Multiplied
• Exponent (as long as the exponent is a whole
number, no fraction, no decimal and no negative
exponents allowed for a mono)
• No variables in the denominator
• No + or - signs
5. Is the term a polynomial? If so, say whether it
is a monomial, binomial, or trinomial.
y2 + 2y
Binomial, since it has
two TERMS
“terms” are added,
“factors” are multiplied
6. Is the term a polynomial? If so, say whether it
is a monomial, binomial, or trinomial.
No
“terms” are added,
“factors” are multiplied
3
2
3
1
2
1
x
x
x
7. Is the term a polynomial? If so, say whether it
is a monomial, binomial, or trinomial.
YES, trinomial since
it has 3 terms
Numeric factor of a term is
called the coefficient.
9
3
5 2
4
x
x
9. Polynomials are classified by their
degrees (exponents)
x² +3x -5 Quadratic Ch 6 and 13
2x -7 Linear Ch 7
10. The Degree of the term is the sum
of the exponents of the variables.
The Degree of a polynomial is
the highest degree of any term.
Degree
11. Identify the degree of each term and the
degree of the polynomial.
- 63x2y3 – 16xy5 + y4
The Degree of a term is the sum of
the exponents of the variables.
The Degree of a polynomial is
the highest degree of any term.
This is a 6th degree
polynomial.
5th
deg
6th
deg
4th
deg
12. Identify the degree of each term and the
degree of the polynomial.
9x6y5 – 7x4y3 + 3xy4
The Degree of a term is the sum of
the exponents of the variables.
The Degree of a polynomial is
the highest degree of any term.
This is a 11th degree
polynomial.
11th
deg
7th
deg
5th
deg
13. 9x6y5 – 7x4y3 + 3xy4
• Leading term is the term that has the
highest degree in the poly
• Ex: 9x6y5
• Leading coefficient is the coefficient of the
leading term.
• Ex: 9
14. Hold up the degree of the
polynomial with your
appropriate fingers
