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Algebra 1 > Algebra 1 Unit 7 > Flashcards

Algebra 1 Unit 7 Flashcards

1
Q

What is a monomial?

A

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

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2
Q

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

A

Add

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3
Q

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

A

Multiply

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4
Q

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

A

Subtract

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5
Q

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

A

1

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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

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7
Q

When adding or subtracting monomials, make sure you …

A

Combine Like Terms!

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8
Q

How do you write Polynomials in Standard form?

A

Write them in Alphabetical and Descending order

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9
Q

What do you call the highest exponent of a polynomial?

A

It is called the degree

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10
Q

What is the definition of a polynomial?

A

It is the sum or difference of many monomials

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11
Q

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

A

A constant

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12
Q

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

A

Linear

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13
Q

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

A

Quadratic

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14
Q

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

A

Cubic

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15
Q

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

A

Quartic

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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 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

28
Q

What are zeros?

A

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

29
Q

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

A

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

30
Q

What does factoring a polynomial do?

A

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

31
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

32
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

33
Q

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

A

The difference of squares is in play

34
Q

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

A

The sum of cubes is in play

35
Q

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

A

The differene of cubes is in play

36
Q

When you have a trinomial, what are your options?

A

Factor or use the Quadratic Formula

37
Q

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

A

Factor by Grouping

38
Q

What is the Difference of Squares Formula?

A

Algebra 1 (8 decks)

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