Lesson 1
Lesson 2 & 3
Lesson 4 & 6
Lesson 7
Lesson 8 & 9
100
What is the difference between a Monomial, Binomial, and a Trinomial?
Monomial is one term Binomial is two terms and a Trinomial is 3 terms.
100
What are the 2 methods to add/subtract polynomials?
Horizontal and vertical
100
"Distribute the monomial to each term of the polynomial. Multiply the factors in three parts" What are the three parts?
The sign
The coefficients
The variables.
100
What are the three special products?
Squaring a binomial
Perfect Square Trinomial
Difference of Two Squares
100
How do you divide a polynomial by a monomial?
Make new fraction
Each term goes numerator over the denominator
Divide each term in the numerator by the denominator
200
What does a "degree of a term" mean?
The sum of the exponents of the variables in the term.
200
What is the horizontal method?
Remove () by disturbing
Find the like terms
Combine the like terms
200
What is Quotient of Powers definitions? and examples
You need to divide the power with a like base the subtract your exponents
Example: h8/ h4 = h(8-4) = h4.
200
Example of Squaring a binomial
(x + y)4 = x4 + 4xy + y4
200
What should you remember when dividing like bases?
You always subtract the exponents.
300
What does "degree of a polynomial" mean?
It equal to the degree of the term with the highest degree.
300
What is the vertical method?
Remove the () by distributing
Make a table and sort like terms to the columns
Combine the terms in the columns
300
What is Power of a Quotient? and an example
=
You apply the exponent to the the numerator and denominator. When there is an exponent being to the power.
300
Example of Perfect Square Trinomial
(x + y)(x − y) = x6 − x6
300
What are Composite Functions?
A composite function, one is INSIDE another with equation
400
Constant, variable, or term raised to the zero power is equal to what?
1
400
What is power of product?
(XY)t=Xtyt
400
What do you do when there is Negative Exponents?
You flip the exponent to the bottom and turn the negative sign into a positive.
x-2/y=x/y2
400
Example of Difference of Two Squares
(x+ y)(x − y) = x3 − y3
400
Example of a composite fraction
f(x) = 2x + 1 and g(x) = x^2
Find: (f ∘ g)(x)
Solution: (f ∘ g)(x) = f(g(x)) = f(x^2) = 2(x^2) + 1 = 2x^2 + 1
500
What is an example for degree of a constant is zero?
6x0=6(1)=6
500
What is a power of power?
(xy)t=xy*t
500
What happens when two or more polynomials are multiplied to each other?
They will still be a polynomials
500
what is one thing you have to do with Arithmetic Operations
You may add, subtract, multiply, and divide two functions but you need to set it up to determine which one you need to do.