Define and Classify
What is the degree of the polynomial below
x2 + 3x + 5
2
What is the sum of these two polynomials?
(2x - 4) + (3x + 6)
5x + 2
4x(3x + 2)
12x2 + 8x
Length times Width
Please provide an example of the addition operation for integers being closed
Two whole numbers equals anotehr whole number, as an example
What is the degree of the polynomial below?
35
0
What is the answer of the equation below?
(2x + 5) - (4x2 - 4x - 3)
-4x2 + 4x + 8
(x + 3)(x + 5)
x2 + 8x + 15
How do you find the volume of a rectangular prism?
Length times Width times Height
Please provide an example of the addition operation for polynomials being closed
a polynomial plus a polynomial equaling a polynomial
How many terms does this polynomial have?
3x3 + 3x + 5
3
What is the answer to the equation below
(3x+4) + 4(x+2)
7x + 12
(3x2 + 3x)(4x + 3)
12x3 + 21x2 + 9x
What is the perimeter?
What is the area?
Perimeter - 12x
Area - 8x2
Provide an example of the operation of division being open under integers
an integer divided by an integer will not always produce an integer
How many terms does this polynomial have?
3x + 5x + 2 + 4
2
What is the answer to the equation below
3(x+1) + (3x + 3)
6x + 6
(3x5 + 2x + 3) (3x3 + 4)
15x8 + 12x5 + 2x4 + 9x3 + 8x + 12
54x2
What is the definition of a CLOSED system
An operation where the output will always follow the rules of the input
What is the term and degree of this polynomial?
3x + 5x3 + 2x - 3x + 6
3 terms
3 degrees
What is the answer to the equation below
-(3x+4) + 4(x+2)
x - 4
or
x + -4
(x - 1)(x4 + x3 + x2 + x + 1)
x5 - 1
BONUS!!!
What are the restrictions of the polynomial's exponents
Must be whole and positive
or
Cannot be partial or negative
Provide an example of division being an open system when it comes to polynomials
a polynomial divided by a polynomial will not always produce a polynomial