A.2-A.5 Flashcards

1
Q

a^m times a^n

A

a^m+n

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2
Q

a^m divided by a^n

A

a^m-n

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3
Q

(a^m)^n

A

a^m times n

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4
Q

a^-n

A

1/a^n

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5
Q

a^0

A

1

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6
Q

(ab)^m

A

a^m times b^m

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7
Q

(a/b)^m

A

a^m/b^m

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8
Q

What is 0^0

A

Undefined

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9
Q

A^p/r

A

(r root of a)^p

Or r root of a^p

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10
Q

Can you add these numbers?

Square root of 2 and square root of 3

A

No, must have same root and same number being rooted

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11
Q

What are the two conjugates?

A

(a + b) for a - b

(a - b) for a + b

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12
Q

What would you do if there was a root of a root?

A

Multiply them. Ex: square root of a square root is a fourth root

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13
Q

What do you call a polynomial with one term?

A

A monomial

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14
Q

What do you call a polynomial with two terms?

A

A binomial

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15
Q

What do you call a polynomial with three terms?

A

A trinomial

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16
Q

What is (a+b)(a-b)?

A

A^2 - b^2

17
Q

What is (a+b)^2

A

a^2 + 2ab + b^2

18
Q

What is (a-b)^2

A

a^2 - 2ab + b^2

19
Q

What is (a+b)^3

A

a^3 + 3a^2b + 3ab^2 + b^3

20
Q

What is (a-b)^3

A

a^3 - 3a^2b + 3ab^2 - b^3

21
Q

In reverse foil what is -,+?

A

-,-

22
Q

What is the factor of (a^2 - b^2)?

A

(a + b)(a - b)

23
Q

What is the factor of a^3 + b^3?

A

(a + b)(a^2 - ab + b^2)

24
Q

What is the factor of a^3 - b^3?

A

(a - b)(a^2 + ab + b^2)

25
Q

What is the definition of an identity equation?

A

It is always true Ex: 2(x + 4)=2x + 8

26
Q

What is the definition of a conditional equation?

A

It is sometimes true Ex: 2x - 1= 11 if x=6

27
Q

What is the quadratic formula?

A

X= -b +- /(b^2 -4ac) /2a

Negative b plus or minus the square root of b squared minus 4ac all over 2a