9.2 Day 2 Notes­Degree and Name Polyn 9.2 NOTES COMPLETED
Degree and
Naming Polynomials
DAY 2
9.2 Day 2 Notes­Degree and Name Polyn 9.2 Degree and Naming Polynomials
a TERM is a number, variable, or combination of both Terms are separated by + and ­ signs
1 Term is called a ____________ EX: 12, w, ­5x2y, a
3
2 Terms ____________ EX: x+3, 3a2+4x
3 Terms ____________ EX: x2+3x­4, 5x2y­3x+7
Generic Name for any number of terms:_________________ Polynomials cannot have 1)
2)
State whether each expression is a polynomial. If "no" you are done. If "yes" identify it as a monomial, binomial, or trinomial (must be in simplified form)
1. 2m­7
6. 3x2 2. x2+3x+9
7. x2+3x­2­5
3. 5a­9+2
8.4m­2 4. 3y2­6+7y
5. ­6abc
9. 5 +6
2x
9.2 Day 2 Notes­Degree and Name Polyn 9.2 Degree and Naming Polynomials
a TERM is a number, variable, or combination of both Terms are separated by + and ­ signs
1 Term is called a ____________ EX: 12, w, ­5x2y, a
3
2 Terms ____________ EX: x+3, 3a2+4x
3 Terms ____________ EX: x2+3x­4, 5x2y­3x+7
Generic Name for any number of terms:_________________ Polynomials cannot have 1)
2)
State whether each expression is a polynomial. If "no" you are done. If "yes" identify it as a monomial, binomial, or trinomial
(must be in simplified form)
1. 2m­7
6. 3x2 2. x2+3x+9
7. x2+3x­2­5
3. 5a­9+2
8.4m­2 4. 3y2­6+7y
5. ­6abc
9. 5 +6
2x
9.2 Day 2 Notes­Degree and Name Polyn Standard Form of a Polynomial means that the
1. Polynomial is in simplified form
2. Polynomial is written in descending order
Degree of a Polynomial = highest degree of any monomial Example: 3x4+5x2­7x+1 is written in standard form
Degree
The Degree of this polynomial is [Hint: pick the highest number]
the polynomial
is in
descending order
Example: Write 5x3+5x4+8­2x3­3 in standard form and find the degree of the polynomial
1. Simplify terms
2. write in
descending order
9.2 Day 2 Notes­Degree and Name Polyn Standard Form of a Polynomial means that the
1. Polynomial is in simplified form
2. Polynomial is written in descending order
Degree of a Polynomial = highest degree of any monomial Example: 3x4+5x2­7x+1 is written in standard form
Degree
The Degree of this polynomial is [Hint: pick the highest number]
the polynomial
is in
descending order
Example: Write 5x3+5x4+8­2x3­3 in standard form and find the degree of the polynomial
1. Simplify terms
2. write in
descending order
9.2 Day 2 Notes­Degree and Name Polyn Find the degree of each polynomial
1) ­3x2
7) 8x2+3x
2) 5xy
8) 5x8+3x2­4x5+2
3
3) 2x
9) 15a3b4­4ab2+3ab
4) 4xyz
10) 5vwz+10v4w3 5) a2b3
11) 5cd4+2bc2d 6) 5
12) 6x3+x3y2­4
9.2 Day 2 Notes­Degree and Name Polyn Find the degree of each polynomial
1) ­3x2
7) 8x2+3x
2) 5xy
8) 5x8+3x2­4x5+2
3
3) 2x
9) 15a3b4­4ab2+3ab
4) 4xyz
10) 5vwz+10v4w3 5) a2b3
11) 5cd4+2bc2d 6) 5
12) 6x3+x3y2­4
Since there is no variable, there is no exponent to look at
9.2 Day 2 Notes­Degree and Name Polyn Polynomial Degree Name Using
Degree
# Terms
7x+4
Linear
3x2+2x+1
Quadratic
4x3
Cubic
9x4+11x­2
4th Degree
5
Constant
Name Using
Terms
9.2 Day 2 Notes­Degree and Name Polyn Polynomial Degree Name Using
Degree
# Terms
7x+4
Linear
3x2+2x+1
Quadratic
4x3
Cubic
9x4+11x­2
4th Degree
5
Constant
Name Using
Terms
9.2 Day 2 Notes­Degree and Name Polyn Descending order means writing terms in order from highest degree to lowest.
Ascending order means writing terms in order from lowest degree to highest.
Arrange the terms of each polynomial so that
the powers of x are in descending order :
Example of a polynomial written in
Ascending order 2­5x+3x2
Descending order 3x2­5x+2
9.2 Day 2 Notes­Degree and Name Polyn Descending order means writing terms in order from highest degree to lowest.
Ascending order means writing terms in order from lowest degree to highest.
Arrange the terms of each polynomial so that the powers of x are in descending order :
Example of a polynomial written in
Ascending order 2­5x+3x2
Descending order 3x2­5x+2