5.1/5.3 Flashcards

1
Q

Product of powers

A

A^m*A^n= A^m+n

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2
Q

Power of power

A

(A^m)^n= A^mn

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3
Q

Power of product

A

(ab)^m= a^m b^m

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4
Q

Negative exponent

A

A^-m = 1/a^m

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5
Q

Zero exponent

A

A^0= 1

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6
Q

Quotient of powers

A

A^m/ A^n = A^m-n

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7
Q

Power of a quotient

A

(A/b)^m = a^m/b^m

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8
Q

Scientific notation

8.510^7)(1.210^3

A

(8.51.2)(10^710^3)

Then solve

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9
Q

(A+B)(A-B) special pattern

A

A^2-b^2

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10
Q

(A+b)^3

A

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

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11
Q

(A-b)^3

A

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

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12
Q

By listing rational zeros which goes on top, leading coefficient or constant

A

Constant goes above leading coefficient

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13
Q

How to find real positive zeros

A

Changes of signs f(x)

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14
Q

How to find real negative zeros

A

Changes of signs f(-x)

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15
Q

How to find imaginary zeros

A

Pos + neg + img= total

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16
Q

When is a polynomial not a function

A

If variable is 1/x or x^-1

17
Q

(A+b)(A-b)=

A

A^2-b^2

18
Q

(A+b)^3

(A-b)^3

A

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

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

19
Q

(A+b)^3

(A-b)^3

A

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

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