Algebra 2 Unit 5

Question 1

What is a monomial?

Answer 1

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

Question 2

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

Answer 2

Add

Question 3

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

Answer 3

Multiply

Question 4

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

Answer 4

Subtract

Question 5

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

Answer 5

1

Question 6

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

Answer 6

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

Question 7

When adding or subtracting monomials, make sure you …

Answer 7

Combine Like Terms!

Question 8

How do you write Polynomials in Standard form?

Answer 8

Write them in Alphabetical and Descending order

Question 9

What do you call the highest exponent of a polynomial?

Answer 9

It is called the degree

Question 10

What is the definition of a polynomial?

Answer 10

It is the sum or difference of many monomials

Question 11

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

Answer 11

A constant

Question 12

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

Answer 12

Linear

Question 13

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

Answer 13

Quadratic

Question 14

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

Answer 14

Cubic

Question 15

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

Answer 15

Quartic

Question 16

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

Answer 16

Quintic

Question 17

What do you call a polynimial with only one term?

Answer 17

A monomial

Question 18

What do you call a polynimial with only two terms?

Answer 18

A binomial

Question 19

What do you call a polynimial with only three terms?

Answer 19

A trinomial

Question 20

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

Answer 20

A Polynomial

Question 21

What does the Constant Polynomial Parent Function look like?

Answer 21

Question 22

What does the Linear Polynomial Parent Function look like?

Answer 22

Question 23

What does the Quadratic Polynomial Parent Function look like?

Answer 23

Question 24

What does the Cubic Polynomial Parent Function look like?

Answer 24

Question 25

What does the Quartic Polynomial Parent Function look like?

Answer 25

Question 26

What does the Quintic Polynomial Parent Function look like?

Answer 26

Question 27

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

Answer 27

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

Question 28

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

Answer 28

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

Question 29

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

Answer 29

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

Question 30

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

Answer 30

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

Question 31

What is a turning point?

Answer 31

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

Question 32

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

Answer 32

A relative maximum

Question 33

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

Answer 33

A relative minimum

Question 34

What are Maximum and Minimum values called?

Answer 34

Extrema

Question 35

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

Answer 35

Where the function is increasing or decreasing

Question 36

What are zeros?

Answer 36

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

Question 37

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

Answer 37

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

Question 38

What does factoring a polynomial do?

Answer 38

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

Question 39

What is a multiplicity?

Answer 39

The highest degree each individual linear factor has

Question 40

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

Answer 40

It Intersects/Crosses the x-intercept or zero

Question 41

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

Answer 41

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

Question 42

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

Answer 42

The difference of squares is in play

Question 43

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

Answer 43

The sum of cubes is in play

Question 44

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

Answer 44

The differene of cubes is in play

Question 45

When you have a trinomial, what are your options?

Answer 45

Factor or use the Quadratic Formula

Question 46

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

Answer 46

Factor by Grouping

Question 47

What is the Difference of Squares Formula?

Answer 47

Question 48

What is the Difference of Cubes Formula?

Answer 48

Question 49

What is the Sum of Cubes Formula?

Answer 49