# Algebra 2 Unit 5 Flashcards

1
Q

What is a monomial?

A

A monomial is a number, variable, or a product of numbers and variables

2
Q

The Exponent Product Rule means to ______ the exponents on the same base

A

3
Q

The Exponent Power Rule means to ______ the exponents on the same base

A

Multiply

4
Q

The Exponent Quotient Rule means to ______ the exponents on the same base

A

Subtract

5
Q

The Zero Exponent Rule means that any base to the zero power is …

A

1

6
Q

The Negative Exponent Rule means that any base with a negative exponent must be …

A

Moved to the opposite numerator/denominator from where it was and the expanent made positive

7
Q

When adding or subtracting monomials, make sure you …

A

Combine Like Terms!

8
Q

How do you write Polynomials in Standard form?

A

Write them in Alphabetical and Descending order

9
Q

What do you call the highest exponent of a polynomial?

A

It is called the degree

10
Q

What is the definition of a polynomial?

A

It is the sum or difference of many monomials

11
Q

What do you call a polynimial with a degree of 0?

A

A constant

12
Q

What do you call a polynimial with a degree of 1?

A

Linear

13
Q

What do you call a polynimial with a degree of 2?

A

14
Q

What do you call a polynimial with a degree of 3?

A

Cubic

15
Q

What do you call a polynimial with a degree of 4?

A

Quartic

16
Q

What do you call a polynimial with a degree of 5?

A

Quintic

17
Q

What do you call a polynimial with only one term?

A

A monomial

18
Q

What do you call a polynimial with only two terms?

A

A binomial

19
Q

What do you call a polynimial with only three terms?

A

A trinomial

20
Q

What do you call a polynimial with four or more terms?

A

A Polynomial

21
Q

What does the Constant Polynomial Parent Function look like?

A
22
Q

What does the Linear Polynomial Parent Function look like?

A
23
Q

What does the Quadratic Polynomial Parent Function look like?

A
24
Q

What does the Cubic Polynomial Parent Function look like?

A
25
Q

What does the Quartic Polynomial Parent Function look like?

A
26
Q

What does the Quintic Polynomial Parent Function look like?

A
27
Q

Describe the end behavior or a function with a POSITIVE leading coefficient and an EVEN degree

A

As x goes to negative, y goes to positive As x goes to positive, y goes to positive

28
Q

Describe the end behavior or a function with a POSITIVE leading coefficient and an ODD degree

A

As x goes to negative, y goes to negative As x goes to positive, y goes to positive

29
Q

Describe the end behavior or a function with a NEGATIVE leading coefficient and an EVEN degree

A

As x goes to negative, y goes to negative As x goes to positive, y goes to negative

30
Q

Describe the end behavior or a function with a NEGATIVE leading coefficient and an ODD degree

A

As x goes to negative, y goes to positive As x goes to positive, y goes to negative

31
Q

What is a turning point?

A

The point(s) at which a polynomial function switched direction

32
Q

What do we call a turning point that is higher than any nearby point?

A

A relative maximum

33
Q

What do we call a turning point that is lower than any nearby point?

A

A relative minimum

34
Q

What are Maximum and Minimum values called?

A

Extrema

35
Q

What do turning points define in a function / on a graph?

A

Where the function is increasing or decreasing

36
Q

What are zeros?

A

The point(s) at which the function intersects the x-axis

37
Q

A polynomial can only have how many real zeros/solutions?

A

The highest it can have is the degree value of the function

38
Q

What does factoring a polynomial do?

A

It reveals it’s linear factors to be solve for possible solutions

39
Q

What is a multiplicity?

A

The highest degree each individual linear factor has

40
Q

What does a function do at it’s zero when it has an ODD multiplicity?

A

It Intersects/Crosses the x-intercept or zero

41
Q

What does a function do at it’s zero when it has an EVEN multiplicity?

A

It bounce back up off of the x-intercept or zero

42
Q

When you are given the difference of two terms being squared, what can you suspect?

A

The difference of squares is in play

43
Q

When you are given the sum of two terms being cubed, what can you suspect?

A

The sum of cubes is in play

44
Q

When you are given the difference of two terms being cubed, what can you suspect?

A

The differene of cubes is in play

45
Q

When you have a trinomial, what are your options?

A

Factor or use the Quadratic Formula

46
Q

When you are given 4 terms that cannot be combined, what should you suspect?

A

Factor by Grouping

47
Q

What is the Difference of Squares Formula?

A
48
Q

What is the Difference of Cubes Formula?

A
49
Q

What is the Sum of Cubes Formula?

A